20634082560 has 864 divisors, whose sum is σ = 91246122240. Its totient is φ = 4353564672.

The previous prime is 20634082549. The next prime is 20634082561. The reversal of 20634082560 is 6528043602.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20634082561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1587237114 + ... + 1587237126.

Almost surely, 2^20634082560 is an apocalyptic number.

20634082560 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 20634082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45623061120).

20634082560 is an abundant number, since it is smaller than the sum of its proper divisors (70612039680).

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

20634082560 is an frugal number, since it uses more digits than its factorization.

20634082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 20634082560 in words is "twenty billion, six hundred thirty-four million, eighty-two thousand, five hundred sixty".