53401936896 has 264 divisors, whose sum is σ = 192248082624. Its totient is φ = 13870448640.

The previous prime is 53401936879. The next prime is 53401937047. The reversal of 53401936896 is 69863910435.

53401936896 is a `hidden beast` number, since 5 + 3 + 401 + 93 + 68 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×53401936896² (a number of 22 digits) contains 22 as substring.

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, 672006 + ... + 747258.

Almost surely, 2^53401936896 is an apocalyptic number.

53401936896 is a gapful number since it is divisible by the number (56) 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 53401936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96124041312).

53401936896 is an abundant number, since it is smaller than the sum of its proper divisors (138846145728).

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

53401936896 is a wasteful number, since it uses less digits than its factorization.

53401936896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75297 (or 75276 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 53401936896 in words is "fifty-three billion, four hundred one million, nine hundred thirty-six thousand, eight hundred ninety-six".