55679270400 has 1200 divisors, whose sum is σ = 235946242224. Its totient is φ = 12899450880.

The previous prime is 55679270393. The next prime is 55679270489. The reversal of 55679270400 is 407297655.

55679270400 is a `hidden beast` number, since 556 + 7 + 92 + 7 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-4 number, since 4×55679270400⁴ (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3275251192 + ... + 3275251208.

Almost surely, 2^55679270400 is an apocalyptic number.

55679270400 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 55679270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117973121112).

55679270400 is an abundant number, since it is smaller than the sum of its proper divisors (180266971824).

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

55679270400 is an frugal number, since it uses more digits than its factorization.

55679270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 55679270400 in words is "fifty-five billion, six hundred seventy-nine million, two hundred seventy thousand, four hundred".