101597128560 has 480 divisors, whose sum is σ = 372631596480. Its totient is φ = 24706547712.

The previous prime is 101597128559. The next prime is 101597128597. The reversal of 101597128560 is 65821795101.

101597128560 is a `hidden beast` number, since 1 + 0 + 1 + 597 + 1 + 2 + 8 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72105136 + ... + 72106544.

It is an arithmetic number, because the mean of its divisors is an integer number (776315826).

Almost surely, 2^101597128560 is an apocalyptic number.

101597128560 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 101597128560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186315798240).

101597128560 is an abundant number, since it is smaller than the sum of its proper divisors (271034467920).

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

101597128560 is a wasteful number, since it uses less digits than its factorization.

101597128560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 101597128560 in words is "one hundred one billion, five hundred ninety-seven million, one hundred twenty-eight thousand, five hundred sixty".