54431405056512 has 1280 divisors, whose sum is σ = 193683460608000. Its totient is φ = 14940251504640.

The previous prime is 54431405056481. The next prime is 54431405056513. The reversal of 54431405056512 is 21565050413445.

54431405056512 is a `hidden beast` number, since 5 + 4 + 4 + 31 + 4 + 0 + 50 + 56 + 512 = 666.

It is a super-2 number, since 2×54431405056512² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54431405056513) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23989159314 + ... + 23989161582.

It is an arithmetic number, because the mean of its divisors is an integer number (151315203600).

Almost surely, 2^{54431405056512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54431405056512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96841730304000).

54431405056512 is an abundant number, since it is smaller than the sum of its proper divisors (139252055551488).

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

54431405056512 is a wasteful number, since it uses less digits than its factorization.

54431405056512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

Adding to 54431405056512 its reverse (21565050413445), we get a palindrome (75996455469957).

The spelling of 54431405056512 in words is "fifty-four trillion, four hundred thirty-one billion, four hundred five million, fifty-six thousand, five hundred twelve".