20980878240 has 384 divisors, whose sum is σ = 78604162560. Its totient is φ = 4602544128.

The previous prime is 20980878239. The next prime is 20980878271. The reversal of 20980878240 is 4287808902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20980878240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19195134 + ... + 19196226.

It is an arithmetic number, because the mean of its divisors is an integer number (204698340).

Almost surely, 2^20980878240 is an apocalyptic number.

20980878240 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 20980878240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39302081280).

20980878240 is an abundant number, since it is smaller than the sum of its proper divisors (57623284320).

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

20980878240 is a wasteful number, since it uses less digits than its factorization.

20980878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 20980878240 in words is "twenty billion, nine hundred eighty million, eight hundred seventy-eight thousand, two hundred forty".