53908745260032 has 352 divisors, whose sum is σ = 176579384990400. Its totient is φ = 16138996678656.

The previous prime is 53908745259997. The next prime is 53908745260163. The reversal of 53908745260032 is 23006254780935.

53908745260032 is a `hidden beast` number, since 5 + 3 + 9 + 0 + 87 + 4 + 526 + 0 + 0 + 32 = 666.

It is a super-2 number, since 2×53908745260032² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11271844 + ... + 15325532.

Almost surely, 2^{53908745260032} is an apocalyptic number.

53908745260032 is a gapful number since it is divisible by the number (52) 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 53908745260032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88289692495200).

53908745260032 is an abundant number, since it is smaller than the sum of its proper divisors (122670639730368).

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

53908745260032 is a wasteful number, since it uses less digits than its factorization.

53908745260032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053768 (or 4053744 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 53908745260032 in words is "fifty-three trillion, nine hundred eight billion, seven hundred forty-five million, two hundred sixty thousand, thirty-two".