10807370400 has 144 divisors (see below), whose sum is σ = 36036318528. Its totient is φ = 2811648000.

The previous prime is 10807370393. The next prime is 10807370423. The reversal of 10807370400 is 407370801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43485 + ... + 153315.

It is an arithmetic number, because the mean of its divisors is an integer number (250252212).

Almost surely, 2^10807370400 is an apocalyptic number.

10807370400 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 10807370400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18018159264).

10807370400 is an abundant number, since it is smaller than the sum of its proper divisors (25228948128).

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

10807370400 is a wasteful number, since it uses less digits than its factorization.

10807370400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109895 (or 109882 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The spelling of 10807370400 in words is "ten billion, eight hundred seven million, three hundred seventy thousand, four hundred".