10087022400 has 504 divisors, whose sum is σ = 41470783200. Its totient is φ = 2127605760.

The previous prime is 10087022383. The next prime is 10087022443. The reversal of 10087022400 is 422078001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3055951 + ... + 3059249.

It is an arithmetic number, because the mean of its divisors is an integer number (82283300).

Almost surely, 2^10087022400 is an apocalyptic number.

10087022400 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 10087022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20735391600).

10087022400 is an abundant number, since it is smaller than the sum of its proper divisors (31383760800).

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

10087022400 is a wasteful number, since it uses less digits than its factorization.

10087022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The spelling of 10087022400 in words is "ten billion, eighty-seven million, twenty-two thousand, four hundred".