55458362400 has 144 divisors (see below), whose sum is σ = 206305170624. Its totient is φ = 12676193280.

The previous prime is 55458362371. The next prime is 55458362419. The reversal of 55458362400 is 426385455.

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 23 ways as a sum of consecutive naturals, for example, 1633747 + ... + 1667346.

It is an arithmetic number, because the mean of its divisors is an integer number (1432674796).

Almost surely, 2^55458362400 is an apocalyptic number.

55458362400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55458362400 is an abundant number, since it is smaller than the sum of its proper divisors (150846808224).

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

55458362400 is a wasteful number, since it uses less digits than its factorization.

55458362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301123 (or 3301110 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 42.

The spelling of 55458362400 in words is "fifty-five billion, four hundred fifty-eight million, three hundred sixty-two thousand, four hundred".