55949442564096 has 675 divisors, whose sum is σ = 172270979129403. Its totient is φ = 18095461171200.

The previous prime is 55949442564073. The next prime is 55949442564137. The reversal of 55949442564096 is 69046524494955.

The square root of 55949442564096 is 7479936.

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

55949442564096 is a `hidden beast` number, since 5 + 5 + 9 + 4 + 9 + 442 + 56 + 40 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 370526109621 + ... + 370526109771.

Almost surely, 2^{55949442564096} is an apocalyptic number.

55949442564096 is the 7479936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55949442564096

55949442564096 is an abundant number, since it is smaller than the sum of its proper divisors (116321536565307).

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

55949442564096 is an frugal number, since it uses more digits than its factorization.

55949442564096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1679616000, while the sum is 72.

The spelling of 55949442564096 in words is "fifty-five trillion, nine hundred forty-nine billion, four hundred forty-two million, five hundred sixty-four thousand, ninety-six".