55341621504 has 405 divisors, whose sum is σ = 179026265873. Its totient is φ = 16441012224.

The previous prime is 55341621487. The next prime is 55341621521. The reversal of 55341621504 is 40512614355.

The square root of 55341621504 is 235248.

It is a perfect power (a square), and thus also a powerful number.

55341621504 is a `hidden beast` number, since 5 + 53 + 41 + 62 + 1 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (55341621487) and next prime (55341621521).

It can be written as a sum of positive squares in 7 ways, for example, as 55296463104 + 45158400 = 235152^2 + 6720^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1908331762 + ... + 1908331790.

Almost surely, 2^55341621504 is an apocalyptic number.

55341621504 is the 235248-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55341621504

55341621504 is an abundant number, since it is smaller than the sum of its proper divisors (123684644369).

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

55341621504 is an frugal number, since it uses more digits than its factorization.

55341621504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Multiplying 55341621504 by its sum of digits (36), we get a square (1992298374144 = 1411488²).

55341621504 divided by its sum of digits (36) gives a square (1537267264 = 39208²).

The spelling of 55341621504 in words is "fifty-five billion, three hundred forty-one million, six hundred twenty-one thousand, five hundred four".