10157669760 has 256 divisors, whose sum is σ = 37090920960. Its totient is φ = 2316238848.

The previous prime is 10157669749. The next prime is 10157669783. The reversal of 10157669760 is 6796675101.

10157669760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9044559 + ... + 9045681.

It is an arithmetic number, because the mean of its divisors is an integer number (144886410).

Almost surely, 2^10157669760 is an apocalyptic number.

10157669760 is a gapful number since it is divisible by the number (10) 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 10157669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18545460480).

10157669760 is an abundant number, since it is smaller than the sum of its proper divisors (26933251200).

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

10157669760 is a wasteful number, since it uses less digits than its factorization.

10157669760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 10157669760 in words is "ten billion, one hundred fifty-seven million, six hundred sixty-nine thousand, seven hundred sixty".