625125621120 has 3072 divisors, whose sum is σ = 3046084392960. Its totient is φ = 104894300160.

The previous prime is 625125621097. The next prime is 625125621121. The reversal of 625125621120 is 21126521526.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625125621121) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11794823014 + ... + 11794823066.

It is an arithmetic number, because the mean of its divisors is an integer number (991563930).

Almost surely, 2^625125621120 is an apocalyptic number.

625125621120 is a gapful number since it is divisible by the number (60) 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 625125621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523042196480).

625125621120 is an abundant number, since it is smaller than the sum of its proper divisors (2420958771840).

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

625125621120 is a wasteful number, since it uses less digits than its factorization.

625125621120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 625125621120 in words is "six hundred twenty-five billion, one hundred twenty-five million, six hundred twenty-one thousand, one hundred twenty".