79185981433536 has 1344 divisors, whose sum is σ = 260197988843520. Its totient is φ = 23783676088320.

The previous prime is 79185981433469. The next prime is 79185981433561. The reversal of 79185981433536 is 63533418958197.

79185981433536 is a `hidden beast` number, since 7 + 9 + 1 + 8 + 5 + 9 + 81 + 4 + 3 + 3 + 536 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 169563129175 + ... + 169563129641.

It is an arithmetic number, because the mean of its divisors is an integer number (193599694080).

Almost surely, 2^{79185981433536} is an apocalyptic number.

79185981433536 is a gapful number since it is divisible by the number (76) 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 79185981433536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130098994421760).

79185981433536 is an abundant number, since it is smaller than the sum of its proper divisors (181012007409984).

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

79185981433536 is a wasteful number, since it uses less digits than its factorization.

79185981433536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 802 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 79185981433536 in words is "seventy-nine trillion, one hundred eighty-five billion, nine hundred eighty-one million, four hundred thirty-three thousand, five hundred thirty-six".