49217960960 has 264 divisors, whose sum is σ = 139522537440. Its totient is φ = 16318955520.

The previous prime is 49217960951. The next prime is 49217960989. The reversal of 49217960960 is 6906971294.

49217960960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34441526 + ... + 34442954.

It is an arithmetic number, because the mean of its divisors is an integer number (528494460).

Almost surely, 2^49217960960 is an apocalyptic number.

49217960960 is a gapful number since it is divisible by the number (40) 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 49217960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69761268720).

49217960960 is an abundant number, since it is smaller than the sum of its proper divisors (90304576480).

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

49217960960 is a wasteful number, since it uses less digits than its factorization.

49217960960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 53.

The spelling of 49217960960 in words is "forty-nine billion, two hundred seventeen million, nine hundred sixty thousand, nine hundred sixty".