54031756912896 has 288 divisors, whose sum is σ = 169853666992128. Its totient is φ = 14921553346560.

The previous prime is 54031756912829. The next prime is 54031756912897. The reversal of 54031756912896 is 69821965713045.

It is a super-2 number, since 2×54031756912896² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54031756912897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137628496 + ... + 138020528.

It is an arithmetic number, because the mean of its divisors is an integer number (589769677056).

It is a 1-persistent number, because it is pandigital, but 2⋅54031756912896 = 108063513825792 is not.

Almost surely, 2^{54031756912896} is an apocalyptic number.

54031756912896 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 54031756912896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84926833496064).

54031756912896 is an abundant number, since it is smaller than the sum of its proper divisors (115821910079232).

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

54031756912896 is a wasteful number, since it uses less digits than its factorization.

54031756912896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392917 (or 392903 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 54031756912896 in words is "fifty-four trillion, thirty-one billion, seven hundred fifty-six million, nine hundred twelve thousand, eight hundred ninety-six".