10147600512 has 384 divisors, whose sum is σ = 35981683200. Its totient is φ = 2804336640.

The previous prime is 10147600493. The next prime is 10147600531. The reversal of 10147600512 is 21500674101.

It is a happy number.

10147600512 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 7 + 600 + 51 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10147600493) and next prime (10147600531).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10147600512² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5248698 + ... + 5250630.

It is an arithmetic number, because the mean of its divisors is an integer number (93702300).

Almost surely, 2^10147600512 is an apocalyptic number.

10147600512 is a gapful number since it is divisible by the number (12) 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 10147600512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17990841600).

10147600512 is an abundant number, since it is smaller than the sum of its proper divisors (25834082688).

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

10147600512 is a wasteful number, since it uses less digits than its factorization.

10147600512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10147600512 in words is "ten billion, one hundred forty-seven million, six hundred thousand, five hundred twelve".