54409989037824 has 432 divisors, whose sum is σ = 185208333133824. Its totient is φ = 15033152102400.

The previous prime is 54409989037813. The next prime is 54409989037907. The reversal of 54409989037824 is 42873098990445.

54409989037824 is a `hidden beast` number, since 5 + 440 + 9 + 9 + 8 + 90 + 3 + 78 + 24 = 666.

It is a super-2 number, since 2×54409989037824² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690416407 + ... + 690495209.

Almost surely, 2^{54409989037824} 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 54409989037824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92604166566912).

54409989037824 is an abundant number, since it is smaller than the sum of its proper divisors (130798344096000).

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

54409989037824 is a wasteful number, since it uses less digits than its factorization.

54409989037824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80244 (or 80227 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 54409989037824 in words is "fifty-four trillion, four hundred nine billion, nine hundred eighty-nine million, thirty-seven thousand, eight hundred twenty-four".