20970789840 has 1600 divisors, whose sum is σ = 101270518272. Its totient is φ = 3881779200.

The previous prime is 20970789823. The next prime is 20970789857. The reversal of 20970789840 is 4898707902.

It is an interprime number because it is at equal distance from previous prime (20970789823) and next prime (20970789857).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 343783410 + ... + 343783470.

Almost surely, 2^20970789840 is an apocalyptic number.

20970789840 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 20970789840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50635259136).

20970789840 is an abundant number, since it is smaller than the sum of its proper divisors (80299728432).

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

20970789840 is a wasteful number, since it uses less digits than its factorization.

20970789840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 20970789840 in words is "twenty billion, nine hundred seventy million, seven hundred eighty-nine thousand, eight hundred forty".