79257353420 has 192 divisors, whose sum is σ = 208856309760. Its totient is φ = 24637132800.

The previous prime is 79257353419. The next prime is 79257353453. The reversal of 79257353420 is 2435375297.

It is a super-2 number, since 2×79257353420² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16893275 + ... + 16897965.

It is an arithmetic number, because the mean of its divisors is an integer number (1087793280).

Almost surely, 2^79257353420 is an apocalyptic number.

79257353420 is a gapful number since it is divisible by the number (70) 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 79257353420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104428154880).

79257353420 is an abundant number, since it is smaller than the sum of its proper divisors (129598956340).

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

79257353420 is a wasteful number, since it uses less digits than its factorization.

79257353420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4984 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 47.

The spelling of 79257353420 in words is "seventy-nine billion, two hundred fifty-seven million, three hundred fifty-three thousand, four hundred twenty".