10379588400 has 120 divisors (see below), whose sum is σ = 36943684560. Its totient is φ = 2767887360.

The previous prime is 10379588381. The next prime is 10379588449. The reversal of 10379588400 is 488597301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 469737 + ... + 491336.

It is an arithmetic number, because the mean of its divisors is an integer number (307864038).

Almost surely, 2^10379588400 is an apocalyptic number.

10379588400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10379588400 is an abundant number, since it is smaller than the sum of its proper divisors (26564096160).

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

10379588400 is a wasteful number, since it uses less digits than its factorization.

10379588400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961100 (or 961083 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10379588400 in words is "ten billion, three hundred seventy-nine million, five hundred eighty-eight thousand, four hundred".