21157176096 has 324 divisors, whose sum is σ = 73883970342. Its totient is φ = 5725375488.

The previous prime is 21157176071. The next prime is 21157176119. The reversal of 21157176096 is 69067175112.

21157176096 is a `hidden beast` number, since 2 + 1 + 1 + 571 + 76 + 0 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21093495696 + 63680400 = 145236^2 + 7980^2 .

It is a super-2 number, since 2×21157176096² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 5092356 + ... + 5096508.

Almost surely, 2^21157176096 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 21157176096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36941985171).

21157176096 is an abundant number, since it is smaller than the sum of its proper divisors (52726794246).

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

21157176096 is a wasteful number, since it uses less digits than its factorization.

21157176096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 21157176096 in words is "twenty-one billion, one hundred fifty-seven million, one hundred seventy-six thousand, ninety-six".