54511957509408 has 576 divisors, whose sum is σ = 187582774579200. Its totient is φ = 14668755056640.

The previous prime is 54511957509367. The next prime is 54511957509439. The reversal of 54511957509408 is 80490575911545.

It is a happy number.

54511957509408 is a `hidden beast` number, since 5 + 4 + 5 + 1 + 19 + 575 + 0 + 9 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 5127636253 + ... + 5127646883.

It is an arithmetic number, because the mean of its divisors is an integer number (325664539200).

Almost surely, 2^{54511957509408} 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 54511957509408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93791387289600).

54511957509408 is an abundant number, since it is smaller than the sum of its proper divisors (133070817069792).

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

54511957509408 is a wasteful number, since it uses less digits than its factorization.

54511957509408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11445 (or 11434 counting only the distinct ones).

The product of its (nonzero) digits is 45360000, while the sum is 63.

The spelling of 54511957509408 in words is "fifty-four trillion, five hundred eleven billion, nine hundred fifty-seven million, five hundred nine thousand, four hundred eight".