20207424476160 has 1056 divisors, whose sum is σ = 74990189713920. Its totient is φ = 5016453120000.

The previous prime is 20207424476101. The next prime is 20207424476191. The reversal of 20207424476160 is 6167442470202.

20207424476160 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 7 + 4 + 24 + 4 + 7 + 616 + 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 95 ways as a sum of consecutive naturals, for example, 26907355785 + ... + 26907356535.

Almost surely, 2^{20207424476160} is an apocalyptic number.

20207424476160 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 20207424476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37495094856960).

20207424476160 is an abundant number, since it is smaller than the sum of its proper divisors (54782765237760).

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

20207424476160 is a wasteful number, since it uses less digits than its factorization.

20207424476160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 20207424476160 in words is "twenty trillion, two hundred seven billion, four hundred twenty-four million, four hundred seventy-six thousand, one hundred sixty".