21629577096 has 160 divisors (see below), whose sum is σ = 62265709440. Its totient is φ = 7011556992.

The previous prime is 21629577089. The next prime is 21629577133. The reversal of 21629577096 is 69077592612.

21629577096 is a `hidden beast` number, since 2 + 1 + 62 + 9 + 577 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4962150 + ... + 4966506.

It is an arithmetic number, because the mean of its divisors is an integer number (389160684).

Almost surely, 2^21629577096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21629577096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31132854720).

21629577096 is an abundant number, since it is smaller than the sum of its proper divisors (40636132344).

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

21629577096 is a wasteful number, since it uses less digits than its factorization.

21629577096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4572 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 21629577096 in words is "twenty-one billion, six hundred twenty-nine million, five hundred seventy-seven thousand, ninety-six".