55622579400 has 144 divisors (see below), whose sum is σ = 187879978260. Its totient is φ = 14746867200.

The previous prime is 55622579377. The next prime is 55622579431. The reversal of 55622579400 is 497522655.

55622579400 is a `hidden beast` number, since 5 + 56 + 22 + 579 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 42975777636 + 12646801764 = 207306^2 + 112458^2 .

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

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 35 ways as a sum of consecutive naturals, for example, 222090 + ... + 400710.

Almost surely, 2^55622579400 is an apocalyptic number.

55622579400 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 55622579400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93939989130).

55622579400 is an abundant number, since it is smaller than the sum of its proper divisors (132257398860).

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

55622579400 is a wasteful number, since it uses less digits than its factorization.

55622579400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178816 (or 178804 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 55622579400 in words is "fifty-five billion, six hundred twenty-two million, five hundred seventy-nine thousand, four hundred".