10579970400 has 288 divisors, whose sum is σ = 36641717280. Its totient is φ = 2642411520.

The previous prime is 10579970371. The next prime is 10579970411. The reversal of 10579970400 is 407997501.

It is a happy number.

It is a super-2 number, since 2×10579970400² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10485096 + ... + 10486104.

It is an arithmetic number, because the mean of its divisors is an integer number (127228185).

Almost surely, 2^10579970400 is an apocalyptic number.

10579970400 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 10579970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320858640).

10579970400 is an abundant number, since it is smaller than the sum of its proper divisors (26061746880).

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

10579970400 is a wasteful number, since it uses less digits than its factorization.

10579970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 10579970400 in words is "ten billion, five hundred seventy-nine million, nine hundred seventy thousand, four hundred".