54777534000 has 160 divisors (see below), whose sum is σ = 201831891456. Its totient is φ = 12520569600.

The previous prime is 54777533971. The next prime is 54777534029. The reversal of 54777534000 is 43577745.

54777534000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54777533971) and next prime (54777534029).

It is a super-2 number, since 2×54777534000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610114 + ... + 694113.

Almost surely, 2^54777534000 is an apocalyptic number.

54777534000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54777534000 is an abundant number, since it is smaller than the sum of its proper divisors (147054357456).

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

54777534000 is a wasteful number, since it uses less digits than its factorization.

54777534000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304260 (or 1304244 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 42.

The spelling of 54777534000 in words is "fifty-four billion, seven hundred seventy-seven million, five hundred thirty-four thousand".