21376882800 has 480 divisors, whose sum is σ = 93648450560. Its totient is φ = 4510080000.

The previous prime is 21376882799. The next prime is 21376882811. The reversal of 21376882800 is 828867312.

It is a super-2 number, since 2×21376882800² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 971925 + ... + 993675.

Almost surely, 2^21376882800 is an apocalyptic number.

21376882800 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 21376882800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46824225280).

21376882800 is an abundant number, since it is smaller than the sum of its proper divisors (72271567760).

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

21376882800 is a wasteful number, since it uses less digits than its factorization.

21376882800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21798 (or 21781 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 21376882800 in words is "twenty-one billion, three hundred seventy-six million, eight hundred eighty-two thousand, eight hundred".