20999540736000 has 1024 divisors, whose sum is σ = 78025446720000. Its totient is φ = 5572893081600.

The previous prime is 20999540735977. The next prime is 20999540736019. The reversal of 20999540736000 is 63704599902.

20999540736000 is a `hidden beast` number, since 2 + 0 + 9 + 99 + 540 + 7 + 3 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×20999540736000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35057663701 + ... + 35057664299.

Almost surely, 2^{20999540736000} is an apocalyptic number.

20999540736000 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 20999540736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39012723360000).

20999540736000 is an abundant number, since it is smaller than the sum of its proper divisors (57025905984000).

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

20999540736000 is an frugal number, since it uses more digits than its factorization.

20999540736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 20999540736000 in words is "twenty trillion, nine hundred ninety-nine billion, five hundred forty million, seven hundred thirty-six thousand".