5627624325120 has 1792 divisors, whose sum is σ = 23765033594880. Its totient is φ = 1252106698752.

The previous prime is 5627624325101. The next prime is 5627624325131. The reversal of 5627624325120 is 215234267265.

5627624325120 is a `hidden beast` number, since 5 + 6 + 2 + 7 + 624 + 3 + 2 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 44312002497 + ... + 44312002623.

Almost surely, 2^{5627624325120} 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 5627624325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11882516797440).

5627624325120 is an abundant number, since it is smaller than the sum of its proper divisors (18137409269760).

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

5627624325120 is an frugal number, since it uses more digits than its factorization.

5627624325120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 5627624325120 in words is "five trillion, six hundred twenty-seven billion, six hundred twenty-four million, three hundred twenty-five thousand, one hundred twenty".