20979302400 has 720 divisors, whose sum is σ = 88413230080. Its totient is φ = 4777574400.

The previous prime is 20979302389. The next prime is 20979302417. The reversal of 20979302400 is 420397902.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×20979302400² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 77414265 + ... + 77414535.

Almost surely, 2^20979302400 is an apocalyptic number.

20979302400 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 20979302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44206615040).

20979302400 is an abundant number, since it is smaller than the sum of its proper divisors (67433927680).

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

20979302400 is an equidigital number, since it uses as much as digits as its factorization.

20979302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 20979302400 in words is "twenty billion, nine hundred seventy-nine million, three hundred two thousand, four hundred".