20970290880 has 1680 divisors, whose sum is σ = 100905868800. Its totient is φ = 4075868160.

The previous prime is 20970290879. The next prime is 20970290911. The reversal of 20970290880 is 8809207902.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×20970290880² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 239 ways as a sum of consecutive naturals, for example, 265446681 + ... + 265446759.

Almost surely, 2^20970290880 is an apocalyptic number.

20970290880 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 20970290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50452934400).

20970290880 is an abundant number, since it is smaller than the sum of its proper divisors (79935577920).

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

20970290880 is a wasteful number, since it uses less digits than its factorization.

20970290880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 20970290880 in words is "twenty billion, nine hundred seventy million, two hundred ninety thousand, eight hundred eighty".