20014275432960 has 400 divisors, whose sum is σ = 73997247658752. Its totient is φ = 5164972646400.

The previous prime is 20014275432953. The next prime is 20014275432973. The reversal of 20014275432960 is 6923457241002.

20014275432960 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 4 + 27 + 543 + 29 + 60 = 666.

It is a super-2 number, since 2×20014275432960² (a number of 27 digits) contains 22 as substring.

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

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, 4871395 + ... + 7984925.

Almost surely, 2^{20014275432960} is an apocalyptic number.

20014275432960 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 20014275432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36998623829376).

20014275432960 is an abundant number, since it is smaller than the sum of its proper divisors (53982972225792).

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

20014275432960 is an equidigital number, since it uses as much as digits as its factorization.

20014275432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113597 (or 3113572 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20014275432960 in words is "twenty trillion, fourteen billion, two hundred seventy-five million, four hundred thirty-two thousand, nine hundred sixty".