101620608960 has 448 divisors, whose sum is σ = 379795820544. Its totient is φ = 22781952000.

The previous prime is 101620608953. The next prime is 101620608961. The reversal of 101620608960 is 69806026101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101620608961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6569235 + ... + 6584685.

It is an arithmetic number, because the mean of its divisors is an integer number (847758528).

Almost surely, 2^101620608960 is an apocalyptic number.

101620608960 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 101620608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189897910272).

101620608960 is an abundant number, since it is smaller than the sum of its proper divisors (278175211584).

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

101620608960 is a wasteful number, since it uses less digits than its factorization.

101620608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15532 (or 15522 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 101620608960 in words is "one hundred one billion, six hundred twenty million, six hundred eight thousand, nine hundred sixty".