20698345950240 has 768 divisors, whose sum is σ = 81223900692480. Its totient is φ = 4323651747840.

The previous prime is 20698345950199. The next prime is 20698345950341. The reversal of 20698345950240 is 4205954389602.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 627339184 + ... + 627372176.

It is an arithmetic number, because the mean of its divisors is an integer number (105760287360).

Almost surely, 2^{20698345950240} is an apocalyptic number.

20698345950240 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 20698345950240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40611950346240).

20698345950240 is an abundant number, since it is smaller than the sum of its proper divisors (60525554742240).

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

20698345950240 is a wasteful number, since it uses less digits than its factorization.

20698345950240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33385 (or 33377 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 20698345950240 in words is "twenty trillion, six hundred ninety-eight billion, three hundred forty-five million, nine hundred fifty thousand, two hundred forty".