3125157590208 has 224 divisors, whose sum is σ = 9513119139840. Its totient is φ = 898876293120.

The previous prime is 3125157590183. The next prime is 3125157590213. The reversal of 3125157590208 is 8020957515213.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1109710 + ... + 2735282.

Almost surely, 2^{3125157590208} is an apocalyptic number.

3125157590208 is a gapful number since it is divisible by the number (38) 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 3125157590208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756559569920).

3125157590208 is an abundant number, since it is smaller than the sum of its proper divisors (6387961549632).

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

3125157590208 is a wasteful number, since it uses less digits than its factorization.

3125157590208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625655 (or 1625645 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The spelling of 3125157590208 in words is "three trillion, one hundred twenty-five billion, one hundred fifty-seven million, five hundred ninety thousand, two hundred eight".