625271152000 has 768 divisors, whose sum is σ = 1899281779200. Its totient is φ = 202420224000.

The previous prime is 625271151979. The next prime is 625271152001. The reversal of 625271152000 is 251172526.

It is a super-3 number, since 3×625271152000³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625271152001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 966415677 + ... + 966416323.

It is an arithmetic number, because the mean of its divisors is an integer number (2473023150).

Almost surely, 2^625271152000 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 625271152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949640889600).

625271152000 is an abundant number, since it is smaller than the sum of its proper divisors (1274010627200).

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

625271152000 is a wasteful number, since it uses less digits than its factorization.

625271152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 625271152000 in words is "six hundred twenty-five billion, two hundred seventy-one million, one hundred fifty-two thousand".