21177796000 has 96 divisors (see below), whose sum is σ = 52101805392. Its totient is φ = 8460057600.

The previous prime is 21177795959. The next prime is 21177796001. The reversal of 21177796000 is 69777112.

It can be written as a sum of positive squares in 8 ways, for example, as 880664976 + 20297131024 = 29676^2 + 142468^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (21177796001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3504982 + ... + 3511018.

Almost surely, 2^21177796000 is an apocalyptic number.

21177796000 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 21177796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26050902696).

21177796000 is an abundant number, since it is smaller than the sum of its proper divisors (30924009392).

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

21177796000 is an equidigital number, since it uses as much as digits as its factorization.

21177796000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6939 (or 6921 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 40.

The spelling of 21177796000 in words is "twenty-one billion, one hundred seventy-seven million, seven hundred ninety-six thousand".