55451547648000 has 3600 divisors, whose sum is σ = 254994310194624. Its totient is φ = 11703995596800.

The previous prime is 55451547647959. The next prime is 55451547648059. The reversal of 55451547648000 is 84674515455.

55451547648000 is a `hidden beast` number, since 5 + 5 + 4 + 5 + 154 + 7 + 6 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1046255615974 + ... + 1046255616026.

Almost surely, 2^{55451547648000} is an apocalyptic number.

55451547648000 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 55451547648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127497155097312).

55451547648000 is an abundant number, since it is smaller than the sum of its proper divisors (199542762546624).

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

55451547648000 is an frugal number, since it uses more digits than its factorization.

55451547648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 13440000, while the sum is 54.

The spelling of 55451547648000 in words is "fifty-five trillion, four hundred fifty-one billion, five hundred forty-seven million, six hundred forty-eight thousand".