55396598400 has 576 divisors, whose sum is σ = 232242323040. Its totient is φ = 12395520000.

The previous prime is 55396598393. The next prime is 55396598419. The reversal of 55396598400 is 489569355.

It is a happy number.

55396598400 is a `hidden beast` number, since 5 + 5 + 3 + 9 + 6 + 598 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×55396598400² (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 71 ways as a sum of consecutive naturals, for example, 4111675 + ... + 4125125.

Almost surely, 2^55396598400 is an apocalyptic number.

55396598400 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 55396598400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121161520).

55396598400 is an abundant number, since it is smaller than the sum of its proper divisors (176845724640).

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

55396598400 is a wasteful number, since it uses less digits than its factorization.

55396598400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13505 (or 13485 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

It can be divided in two parts, 55396 and 598400, that added together give a triangular number (653796 = T₁₁₄₃).

The spelling of 55396598400 in words is "fifty-five billion, three hundred ninety-six million, five hundred ninety-eight thousand, four hundred".