10292572160 has 208 divisors, whose sum is σ = 27042881376. Its totient is φ = 3737124864.

The previous prime is 10292572133. The next prime is 10292572163. The reversal of 10292572160 is 6127529201.

It is a tau number, because it is divible by the number of its divisors (208).

It is a self number, because there is not a number n which added to its sum of digits gives 10292572160.

It is not an unprimeable number, because it can be changed into a prime (10292572163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17837792 + ... + 17838368.

Almost surely, 2^10292572160 is an apocalyptic number.

10292572160 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 10292572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13521440688).

10292572160 is an abundant number, since it is smaller than the sum of its proper divisors (16750309216).

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

10292572160 is an equidigital number, since it uses as much as digits as its factorization.

10292572160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 10292572160 in words is "ten billion, two hundred ninety-two million, five hundred seventy-two thousand, one hundred sixty".