55125924532224 has 1664 divisors, whose sum is σ = 203356303073280. Its totient is φ = 12860692365312.

The previous prime is 55125924532219. The next prime is 55125924532319. The reversal of 55125924532224 is 42223542952155.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25795939284 + ... + 25795941420.

Almost surely, 2^{55125924532224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55125924532224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101678151536640).

55125924532224 is an abundant number, since it is smaller than the sum of its proper divisors (148230378541056).

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

55125924532224 is a wasteful number, since it uses less digits than its factorization.

55125924532224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2261 counting only the distinct ones).

The product of its digits is 8640000, while the sum is 51.

The spelling of 55125924532224 in words is "fifty-five trillion, one hundred twenty-five billion, nine hundred twenty-four million, five hundred thirty-two thousand, two hundred twenty-four".