10504712400 has 960 divisors, whose sum is σ = 44843796480. Its totient is φ = 2040422400.

The previous prime is 10504712389. The next prime is 10504712401. The reversal of 10504712400 is 421740501.

It is a super-2 number, since 2×10504712400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10504712401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126562759 + ... + 126562841.

It is an arithmetic number, because the mean of its divisors is an integer number (46712288).

Almost surely, 2^10504712400 is an apocalyptic number.

10504712400 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 10504712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22421898240).

10504712400 is an abundant number, since it is smaller than the sum of its proper divisors (34339084080).

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

10504712400 is a wasteful number, since it uses less digits than its factorization.

10504712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The spelling of 10504712400 in words is "ten billion, five hundred four million, seven hundred twelve thousand, four hundred".