21740856996096 has 648 divisors, whose sum is σ = 75438814424064. Its totient is φ = 5997866434560.

The previous prime is 21740856996073. The next prime is 21740856996097. The reversal of 21740856996096 is 69069965804712.

21740856996096 is a `hidden beast` number, since 2 + 1 + 7 + 4 + 0 + 8 + 5 + 6 + 9 + 9 + 609 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21740856996097) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1620389580 + ... + 1620402996.

Almost surely, 2^{21740856996096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21740856996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37719407212032).

21740856996096 is an abundant number, since it is smaller than the sum of its proper divisors (53697957427968).

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

21740856996096 is a wasteful number, since it uses less digits than its factorization.

21740856996096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13947 (or 13923 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 21740856996096 in words is "twenty-one trillion, seven hundred forty billion, eight hundred fifty-six million, nine hundred ninety-six thousand, ninety-six".