54512640000 has 1260 divisors, whose sum is σ = 243516780936. Its totient is φ = 11501568000.

The previous prime is 54512639969. The next prime is 54512640019. The reversal of 54512640000 is 4621545.

54512640000 is a `hidden beast` number, since 5 + 4 + 5 + 12 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4193279994 + ... + 4193280006.

Almost surely, 2^54512640000 is an apocalyptic number.

54512640000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54512640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121758390468).

54512640000 is an abundant number, since it is smaller than the sum of its proper divisors (189004140936).

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

54512640000 is an equidigital number, since it uses as much as digits as its factorization.

54512640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 54512640000 in words is "fifty-four billion, five hundred twelve million, six hundred forty thousand".