20940815697984 has 336 divisors, whose sum is σ = 76610643677568. Its totient is φ = 5522852118528.

The previous prime is 20940815697941. The next prime is 20940815698007. The reversal of 20940815697984 is 48979651804902.

20940815697984 is a `hidden beast` number, since 2 + 0 + 9 + 408 + 1 + 56 + 97 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×20940815697984² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 5983137 + ... + 8813600.

It is an arithmetic number, because the mean of its divisors is an integer number (228007868088).

Almost surely, 2^{20940815697984} is an apocalyptic number.

20940815697984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20940815697984 is an abundant number, since it is smaller than the sum of its proper divisors (55669827979584).

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

20940815697984 is a wasteful number, since it uses less digits than its factorization.

20940815697984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14796784 (or 14796762 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 20940815697984 in words is "twenty trillion, nine hundred forty billion, eight hundred fifteen million, six hundred ninety-seven thousand, nine hundred eighty-four".