21377146752 has 320 divisors, whose sum is σ = 68942412000. Its totient is φ = 6536318976.

The previous prime is 21377146741. The next prime is 21377146781. The reversal of 21377146752 is 25764177312.

21377146752 is a `hidden beast` number, since 2 + 137 + 7 + 1 + 467 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21377146698 and 21377146707.

It is a congruent number.

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, 26821618 + ... + 26822414.

Almost surely, 2^21377146752 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 21377146752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34471206000).

21377146752 is an abundant number, since it is smaller than the sum of its proper divisors (47565265248).

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

21377146752 is a wasteful number, since it uses less digits than its factorization.

21377146752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1014 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 21377146752 in words is "twenty-one billion, three hundred seventy-seven million, one hundred forty-six thousand, seven hundred fifty-two".