53622244424400 has 480 divisors, whose sum is σ = 174181111123968. Its totient is φ = 14099892480000.

The previous prime is 53622244424393. The next prime is 53622244424443. The reversal of 53622244424400 is 442444222635.

It is a super-2 number, since 2×53622244424400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43348620582 + ... + 43348621818.

Almost surely, 2^{53622244424400} is an apocalyptic number.

53622244424400 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 53622244424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87090555561984).

53622244424400 is an abundant number, since it is smaller than the sum of its proper divisors (120558866699568).

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

53622244424400 is a wasteful number, since it uses less digits than its factorization.

53622244424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 42.

The spelling of 53622244424400 in words is "fifty-three trillion, six hundred twenty-two billion, two hundred forty-four million, four hundred twenty-four thousand, four hundred".