10152172800 has 1296 divisors, whose sum is σ = 47675073600. Its totient is φ = 2090188800.

The previous prime is 10152172799. The next prime is 10152172801. The reversal of 10152172800 is 827125101.

It is an interprime number because it is at equal distance from previous prime (10152172799) and next prime (10152172801).

It is a super-2 number, since 2×10152172800² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152172801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93139146 + ... + 93139254.

Almost surely, 2^10152172800 is an apocalyptic number.

10152172800 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 10152172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23837536800).

10152172800 is an abundant number, since it is smaller than the sum of its proper divisors (37522900800).

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

10152172800 is a wasteful number, since it uses less digits than its factorization.

10152172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

Adding to 10152172800 its reverse (827125101), we get a palindrome (10979297901).

The spelling of 10152172800 in words is "ten billion, one hundred fifty-two million, one hundred seventy-two thousand, eight hundred".