20878580736 has 660 divisors, whose sum is σ = 72389993368. Its totient is φ = 5956042752.

The previous prime is 20878580699. The next prime is 20878580741. The reversal of 20878580736 is 63708587802.

20878580736 is a `hidden beast` number, since 20 + 8 + 7 + 8 + 580 + 7 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 311620575 + ... + 311620641.

Almost surely, 2^20878580736 is an apocalyptic number.

20878580736 is a gapful number since it is divisible by the number (26) 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 20878580736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36194996684).

20878580736 is an abundant number, since it is smaller than the sum of its proper divisors (51511412632).

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

20878580736 is a wasteful number, since it uses less digits than its factorization.

20878580736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 20878580736 in words is "twenty billion, eight hundred seventy-eight million, five hundred eighty thousand, seven hundred thirty-six".