54876979200 has 720 divisors, whose sum is σ = 200099942784. Its totient is φ = 13212057600.

The previous prime is 54876979181. The next prime is 54876979219. The reversal of 54876979200 is 297967845.

It is an interprime number because it is at equal distance from previous prime (54876979181) and next prime (54876979219).

It is a super-2 number, since 2×54876979200² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772915165 + ... + 772915235.

Almost surely, 2^54876979200 is an apocalyptic number.

54876979200 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 54876979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100049971392).

54876979200 is an abundant number, since it is smaller than the sum of its proper divisors (145222963584).

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

54876979200 is a wasteful number, since it uses less digits than its factorization.

54876979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 54876979200 in words is "fifty-four billion, eight hundred seventy-six million, nine hundred seventy-nine thousand, two hundred".