10023976800 has 180 divisors, whose sum is σ = 36555730596. Its totient is φ = 2673043200.

The previous prime is 10023976783. The next prime is 10023976801. The reversal of 10023976800 is 867932001.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×10023976800² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023976801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12546 + ... + 142145.

Almost surely, 2^10023976800 is an apocalyptic number.

10023976800 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 10023976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18277865298).

10023976800 is an abundant number, since it is smaller than the sum of its proper divisors (26531753796).

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

10023976800 is a wasteful number, since it uses less digits than its factorization.

10023976800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154723 (or 154701 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 10023976800 in words is "ten billion, twenty-three million, nine hundred seventy-six thousand, eight hundred".