53904614400 has 1056 divisors, whose sum is σ = 243918554880. Its totient is φ = 11360010240.

The previous prime is 53904614381. The next prime is 53904614417. The reversal of 53904614400 is 441640935.

53904614400 is a `hidden beast` number, since 5 + 39 + 0 + 4 + 614 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×53904614400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62898772 + ... + 62899628.

It is an arithmetic number, because the mean of its divisors is an integer number (230983480).

Almost surely, 2^53904614400 is an apocalyptic number.

53904614400 is a gapful number since it is divisible by the number (50) 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 53904614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121959277440).

53904614400 is an abundant number, since it is smaller than the sum of its proper divisors (190013940480).

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

53904614400 is a wasteful number, since it uses less digits than its factorization.

53904614400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 53904614400 in words is "fifty-three billion, nine hundred four million, six hundred fourteen thousand, four hundred".