20978848320 has 224 divisors, whose sum is σ = 69793152768. Its totient is φ = 5328863232.

The previous prime is 20978848277. The next prime is 20978848369. The reversal of 20978848320 is 2384887902.

It is a super-2 number, since 2×20978848320² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5672712 + ... + 5676408.

Almost surely, 2^20978848320 is an apocalyptic number.

20978848320 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 20978848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34896576384).

20978848320 is an abundant number, since it is smaller than the sum of its proper divisors (48814304448).

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

20978848320 is a wasteful number, since it uses less digits than its factorization.

20978848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3997 (or 3987 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 20978848320 in words is "twenty billion, nine hundred seventy-eight million, eight hundred forty-eight thousand, three hundred twenty".