101791519796736 has 2560 divisors, whose sum is σ = 407695505817600. Its totient is φ = 24286445568000.

The previous prime is 101791519796717. The next prime is 101791519796737. The reversal of 101791519796736 is 637697915197101.

101791519796736 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 9 + 1 + 519 + 79 + 6 + 7 + 36 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101791519796737) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 220805899546 + ... + 220805900006.

It is an arithmetic number, because the mean of its divisors is an integer number (159256056960).

Almost surely, 2^{101791519796736} is an apocalyptic number.

101791519796736 is a gapful number since it is divisible by the number (16) 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 101791519796736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203847752908800).

101791519796736 is an abundant number, since it is smaller than the sum of its proper divisors (305903986020864).

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

101791519796736 is a wasteful number, since it uses less digits than its factorization.

101791519796736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 135025380, while the sum is 72.

The spelling of 101791519796736 in words is "one hundred one trillion, seven hundred ninety-one billion, five hundred nineteen million, seven hundred ninety-six thousand, seven hundred thirty-six".