54987859540224 has 864 divisors, whose sum is σ = 179821929391104. Its totient is φ = 16044289228800.

The previous prime is 54987859540217. The next prime is 54987859540283. The reversal of 54987859540224 is 42204595878945.

54987859540224 is a `hidden beast` number, since 5 + 4 + 9 + 8 + 7 + 8 + 59 + 540 + 2 + 24 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28925753674 + ... + 28925755574.

Almost surely, 2^{54987859540224} 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 54987859540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89910964695552).

54987859540224 is an abundant number, since it is smaller than the sum of its proper divisors (124834069850880).

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

54987859540224 is a wasteful number, since it uses less digits than its factorization.

54987859540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 1161216000, while the sum is 72.

The spelling of 54987859540224 in words is "fifty-four trillion, nine hundred eighty-seven billion, eight hundred fifty-nine million, five hundred forty thousand, two hundred twenty-four".