10174972788 has 144 divisors (see below), whose sum is σ = 27545918400. Its totient is φ = 3281990400.

The previous prime is 10174972727. The next prime is 10174972789. The reversal of 10174972788 is 88727947101.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10174972789) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5219638 + ... + 5221586.

It is an arithmetic number, because the mean of its divisors is an integer number (191291100).

Almost surely, 2^10174972788 is an apocalyptic number.

10174972788 is a gapful number since it is divisible by the number (18) 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 10174972788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13772959200).

10174972788 is an abundant number, since it is smaller than the sum of its proper divisors (17370945612).

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

10174972788 is a wasteful number, since it uses less digits than its factorization.

10174972788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The spelling of 10174972788 in words is "ten billion, one hundred seventy-four million, nine hundred seventy-two thousand, seven hundred eighty-eight".