54996988919040 has 6048 divisors, whose sum is σ = 261308336688000. Its totient is φ = 10998071820288.

The previous prime is 54996988919009. The next prime is 54996988919149. The reversal of 54996988919040 is 4091988969945.

54996988919040 is a `hidden beast` number, since 5 + 499 + 6 + 9 + 8 + 89 + 1 + 9 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-3 number, since 3×54996988919040³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 932152354531 + ... + 932152354589.

It is an arithmetic number, because the mean of its divisors is an integer number (43205743500).

Almost surely, 2^{54996988919040} 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 54996988919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130654168344000).

54996988919040 is an abundant number, since it is smaller than the sum of its proper divisors (206311347768960).

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

54996988919040 is a wasteful number, since it uses less digits than its factorization.

54996988919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1813985280, while the sum is 81.

The spelling of 54996988919040 in words is "fifty-four trillion, nine hundred ninety-six billion, nine hundred eighty-eight million, nine hundred nineteen thousand, forty".