20945096640 has 560 divisors, whose sum is σ = 81631962720. Its totient is φ = 5066219520.

The previous prime is 20945096639. The next prime is 20945096647. The reversal of 20945096640 is 4669054902.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20945096647) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20554051 + ... + 20555069.

It is an arithmetic number, because the mean of its divisors is an integer number (145771362).

Almost surely, 2^20945096640 is an apocalyptic number.

20945096640 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 20945096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40815981360).

20945096640 is an abundant number, since it is smaller than the sum of its proper divisors (60686866080).

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

20945096640 is a wasteful number, since it uses less digits than its factorization.

20945096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 20945096640 in words is "twenty billion, nine hundred forty-five million, ninety-six thousand, six hundred forty".