54932035166400 has 2016 divisors, whose sum is σ = 226221627555840. Its totient is φ = 11417656320000.

The previous prime is 54932035166399. The next prime is 54932035166501. The reversal of 54932035166400 is 466153023945.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54932035166400.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52266445875 + ... + 52266446925.

Almost surely, 2^{54932035166400} is an apocalyptic number.

54932035166400 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 54932035166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113110813777920).

54932035166400 is an abundant number, since it is smaller than the sum of its proper divisors (171289592389440).

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

54932035166400 is a wasteful number, since it uses less digits than its factorization.

54932035166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 54932035166400 in words is "fifty-four trillion, nine hundred thirty-two billion, thirty-five million, one hundred sixty-six thousand, four hundred".