10147888752 has 160 divisors (see below), whose sum is σ = 28414848000. Its totient is φ = 3110814720.

The previous prime is 10147888739. The next prime is 10147888763. The reversal of 10147888752 is 25788874101.

It is a super-2 number, since 2×10147888752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10147888695 and 10147888704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4393774 + ... + 4396082.

It is an arithmetic number, because the mean of its divisors is an integer number (177592800).

Almost surely, 2^10147888752 is an apocalyptic number.

10147888752 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 10147888752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14207424000).

10147888752 is an abundant number, since it is smaller than the sum of its proper divisors (18266959248).

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

10147888752 is a wasteful number, since it uses less digits than its factorization.

10147888752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 1003520, while the sum is 51.

The spelling of 10147888752 in words is "ten billion, one hundred forty-seven million, eight hundred eighty-eight thousand, seven hundred fifty-two".