3150085800960 has 880 divisors, whose sum is σ = 13249835748864. Its totient is φ = 700535734272.

The previous prime is 3150085800943. The next prime is 3150085800977. The reversal of 3150085800960 is 690085800513.

3150085800960 is a `hidden beast` number, since 3 + 1 + 5 + 0 + 0 + 8 + 580 + 0 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3150085800943) and next prime (3150085800977).

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 79 ways as a sum of consecutive naturals, for example, 107397817 + ... + 107427143.

Almost surely, 2^{3150085800960} is an apocalyptic number.

3150085800960 is a gapful number since it is divisible by the number (30) 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 3150085800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624917874432).

3150085800960 is an abundant number, since it is smaller than the sum of its proper divisors (10099749947904).

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

3150085800960 is a wasteful number, since it uses less digits than its factorization.

3150085800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29408 (or 29381 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 3150085800960 in words is "three trillion, one hundred fifty billion, eighty-five million, eight hundred thousand, nine hundred sixty".