48760267768128 has 1344 divisors, whose sum is σ = 184762815436800. Its totient is φ = 12514378383360.

The previous prime is 48760267768103. The next prime is 48760267768153. The reversal of 48760267768128 is 82186776206784.

48760267768128 is a `hidden beast` number, since 4 + 8 + 7 + 602 + 6 + 7 + 7 + 6 + 8 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (48760267768103) and next prime (48760267768153).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3257409028 + ... + 3257423996.

Almost surely, 2^{48760267768128} is an apocalyptic number.

48760267768128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48760267768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92381407718400).

48760267768128 is an abundant number, since it is smaller than the sum of its proper divisors (136002547668672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48760267768128 is a wasteful number, since it uses less digits than its factorization.

48760267768128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15125 (or 15102 counting only the distinct ones).

The product of its (nonzero) digits is 606928896, while the sum is 72.

The spelling of 48760267768128 in words is "forty-eight trillion, seven hundred sixty billion, two hundred sixty-seven million, seven hundred sixty-eight thousand, one hundred twenty-eight".