101160267552 has 480 divisors, whose sum is σ = 326532729600. Its totient is φ = 30600364032.

The previous prime is 101160267511. The next prime is 101160267553. The reversal of 101160267552 is 255762061101.

101160267552 is a `hidden beast` number, since 10 + 11 + 60 + 26 + 7 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101160267553) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 275640873 + ... + 275641239.

It is an arithmetic number, because the mean of its divisors is an integer number (680276520).

Almost surely, 2^101160267552 is an apocalyptic number.

101160267552 is a gapful number since it is divisible by the number (12) 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 101160267552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163266364800).

101160267552 is an abundant number, since it is smaller than the sum of its proper divisors (225372462048).

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

101160267552 is a wasteful number, since it uses less digits than its factorization.

101160267552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 101160267552 in words is "one hundred one billion, one hundred sixty million, two hundred sixty-seven thousand, five hundred fifty-two".