20780371584 has 384 divisors, whose sum is σ = 71763364800. Its totient is φ = 5902460928.

The previous prime is 20780371561. The next prime is 20780371597. The reversal of 20780371584 is 48517308702.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×20780371584² (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 47 ways as a sum of consecutive naturals, for example, 46908067 + ... + 46908509.

Almost surely, 2^20780371584 is an apocalyptic number.

20780371584 is a gapful number since it is divisible by the number (24) 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 20780371584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35881682400).

20780371584 is an abundant number, since it is smaller than the sum of its proper divisors (50982993216).

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

20780371584 is a wasteful number, since it uses less digits than its factorization.

20780371584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 20780371584 in words is "twenty billion, seven hundred eighty million, three hundred seventy-one thousand, five hundred eighty-four".