10252510400 has 168 divisors, whose sum is σ = 27670054896. Its totient is φ = 3708006400.

The previous prime is 10252510369. The next prime is 10252510403. The reversal of 10252510400 is 401525201.

It is a super-2 number, since 2×10252510400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10252510403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3465722 + ... + 3468678.

Almost surely, 2^10252510400 is an apocalyptic number.

10252510400 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 10252510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13835027448).

10252510400 is an abundant number, since it is smaller than the sum of its proper divisors (17417544496).

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

10252510400 is a wasteful number, since it uses less digits than its factorization.

10252510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3187 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 10252510400 in words is "ten billion, two hundred fifty-two million, five hundred ten thousand, four hundred".