21115677312 has 192 divisors, whose sum is σ = 61658681760. Its totient is φ = 6935500800.

The previous prime is 21115677307. The next prime is 21115677337. The reversal of 21115677312 is 21377651112.

21115677312 is a `hidden beast` number, since 2 + 1 + 11 + 567 + 73 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40373883 + ... + 40374405.

Almost surely, 2^21115677312 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 21115677312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30829340880).

21115677312 is an abundant number, since it is smaller than the sum of its proper divisors (40543004448).

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

21115677312 is a wasteful number, since it uses less digits than its factorization.

21115677312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 976 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The spelling of 21115677312 in words is "twenty-one billion, one hundred fifteen million, six hundred seventy-seven thousand, three hundred twelve".