797574786140160 has 2304 divisors, whose sum is σ = 3400098418080000. Its totient is φ = 176745027207168.

The previous prime is 797574786140137. The next prime is 797574786140191. The reversal of 797574786140160 is 61041687475797.

797574786140160 is a `hidden beast` number, since 7 + 9 + 7 + 5 + 7 + 478 + 6 + 140 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×797574786140160² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58349161806 + ... + 58349175474.

It is an arithmetic number, because the mean of its divisors is an integer number (1475737160625).

Almost surely, 2^{797574786140160} is an apocalyptic number.

797574786140160 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 797574786140160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700049209040000).

797574786140160 is an abundant number, since it is smaller than the sum of its proper divisors (2602523631939840).

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

797574786140160 is a wasteful number, since it uses less digits than its factorization.

797574786140160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13851 (or 13818 counting only the distinct ones).

The product of its (nonzero) digits is 497871360, while the sum is 72.

The spelling of 797574786140160 in words is "seven hundred ninety-seven trillion, five hundred seventy-four billion, seven hundred eighty-six million, one hundred forty thousand, one hundred sixty".