101579070715640 has 256 divisors, whose sum is σ = 267471984384000. Its totient is φ = 34001257973760.

The previous prime is 101579070715621. The next prime is 101579070715651. The reversal of 101579070715640 is 46517070975101.

It is a congruent number.

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, 3876606779 + ... + 3876632981.

It is an arithmetic number, because the mean of its divisors is an integer number (1044812439000).

Almost surely, 2^{101579070715640} is an apocalyptic number.

101579070715640 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 101579070715640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133735992192000).

101579070715640 is an abundant number, since it is smaller than the sum of its proper divisors (165892913668360).

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

101579070715640 is a wasteful number, since it uses less digits than its factorization.

101579070715640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28190 (or 28186 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 53.

The spelling of 101579070715640 in words is "one hundred one trillion, five hundred seventy-nine billion, seventy million, seven hundred fifteen thousand, six hundred forty".