20997167040 has 336 divisors, whose sum is σ = 73460518560. Its totient is φ = 5504163840.

The previous prime is 20997166979. The next prime is 20997167057. The reversal of 20997167040 is 4076179902.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66236962 + ... + 66237278.

Almost surely, 2^20997167040 is an apocalyptic number.

20997167040 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 20997167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36730259280).

20997167040 is an abundant number, since it is smaller than the sum of its proper divisors (52463351520).

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

20997167040 is a wasteful number, since it uses less digits than its factorization.

20997167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 20997167040 in words is "twenty billion, nine hundred ninety-seven million, one hundred sixty-seven thousand, forty".