20657874240 has 336 divisors, whose sum is σ = 75066241536. Its totient is φ = 5206118400.

The previous prime is 20657874221. The next prime is 20657874319. The reversal of 20657874240 is 4247875602.

It is a happy number.

20657874240 is a `hidden beast` number, since 2 + 0 + 6 + 578 + 74 + 2 + 4 + 0 = 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 47 ways as a sum of consecutive naturals, for example, 3836350 + ... + 3841730.

Almost surely, 2^20657874240 is an apocalyptic number.

20657874240 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 20657874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37533120768).

20657874240 is an abundant number, since it is smaller than the sum of its proper divisors (54408367296).

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

20657874240 is a wasteful number, since it uses less digits than its factorization.

20657874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5465 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 20657874240 in words is "twenty billion, six hundred fifty-seven million, eight hundred seventy-four thousand, two hundred forty".