54550953600 has 768 divisors, whose sum is σ = 214186291200. Its totient is φ = 12028723200.

The previous prime is 54550953577. The next prime is 54550953623. The reversal of 54550953600 is 635905545.

It is an interprime number because it is at equal distance from previous prime (54550953577) and next prime (54550953623).

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, 108450949 + ... + 108451451.

It is an arithmetic number, because the mean of its divisors is an integer number (278888400).

Almost surely, 2^54550953600 is an apocalyptic number.

54550953600 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 54550953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107093145600).

54550953600 is an abundant number, since it is smaller than the sum of its proper divisors (159635337600).

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

54550953600 is a wasteful number, since it uses less digits than its factorization.

54550953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 42.

The spelling of 54550953600 in words is "fifty-four billion, five hundred fifty million, nine hundred fifty-three thousand, six hundred".