54652133133400 has 96 divisors (see below), whose sum is σ = 138933443404800. Its totient is φ = 19828232668800.

The previous prime is 54652133133371. The next prime is 54652133133421. The reversal of 54652133133400 is 433133125645.

54652133133400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27327912 + ... + 29259511.

It is an arithmetic number, because the mean of its divisors is an integer number (1447223368800).

Almost surely, 2^{54652133133400} is an apocalyptic number.

54652133133400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54652133133400 is an abundant number, since it is smaller than the sum of its proper divisors (84281310271400).

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

54652133133400 is a wasteful number, since it uses less digits than its factorization.

54652133133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56587889 (or 56587880 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 54652133133400 in words is "fifty-four trillion, six hundred fifty-two billion, one hundred thirty-three million, one hundred thirty-three thousand, four hundred".