20501498514960 has 480 divisors, whose sum is σ = 73449570355200. Its totient is φ = 5106873139200.

The previous prime is 20501498514949. The next prime is 20501498515021. The reversal of 20501498514960 is 6941589410502.

20501498514960 is a `hidden beast` number, since 2 + 0 + 5 + 0 + 1 + 498 + 5 + 149 + 6 + 0 = 666.

It is a super-2 number, since 2×20501498514960² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20501498514897 and 20501498514906.

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, 1049680395 + ... + 1049699925.

It is an arithmetic number, because the mean of its divisors is an integer number (153019938240).

Almost surely, 2^{20501498514960} is an apocalyptic number.

20501498514960 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 20501498514960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36724785177600).

20501498514960 is an abundant number, since it is smaller than the sum of its proper divisors (52948071840240).

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

20501498514960 is a wasteful number, since it uses less digits than its factorization.

20501498514960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20207 (or 20198 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 20501498514960 in words is "twenty trillion, five hundred one billion, four hundred ninety-eight million, five hundred fourteen thousand, nine hundred sixty".