20575088640 has 520 divisors, whose sum is σ = 75165858240. Its totient is φ = 5382733824.

The previous prime is 20575088623. The next prime is 20575088659. The reversal of 20575088640 is 4688057502.

20575088640 is a `hidden beast` number, since 20 + 5 + 7 + 508 + 86 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 131051442 + ... + 131051598.

Almost surely, 2^20575088640 is an apocalyptic number.

20575088640 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 20575088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37582929120).

20575088640 is an abundant number, since it is smaller than the sum of its proper divisors (54590769600).

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

20575088640 is an equidigital number, since it uses as much as digits as its factorization.

20575088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 20575088640 in words is "twenty billion, five hundred seventy-five million, eighty-eight thousand, six hundred forty".