21377079360 has 1568 divisors, whose sum is σ = 100743471360. Its totient is φ = 4192321536.

The previous prime is 21377079323. The next prime is 21377079407. The reversal of 21377079360 is 6397077312.

21377079360 is a `hidden beast` number, since 213 + 7 + 7 + 0 + 79 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 403341094 + ... + 403341146.

Almost surely, 2^21377079360 is an apocalyptic number.

21377079360 is a gapful number since it is divisible by the number (20) 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 21377079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50371735680).

21377079360 is an abundant number, since it is smaller than the sum of its proper divisors (79366392000).

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

21377079360 is a wasteful number, since it uses less digits than its factorization.

21377079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The spelling of 21377079360 in words is "twenty-one billion, three hundred seventy-seven million, seventy-nine thousand, three hundred sixty".