21721772196000 has 576 divisors, whose sum is σ = 78011120259072. Its totient is φ = 5723712000000.

The previous prime is 21721772195983. The next prime is 21721772196013. The reversal of 21721772196000 is 69127712712.

21721772196000 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 17 + 7 + 21 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1038265540 + ... + 1038286460.

It is an arithmetic number, because the mean of its divisors is an integer number (135435972672).

Almost surely, 2^{21721772196000} is an apocalyptic number.

21721772196000 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 21721772196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39005560129536).

21721772196000 is an abundant number, since it is smaller than the sum of its proper divisors (56289348063072).

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

21721772196000 is a wasteful number, since it uses less digits than its factorization.

21721772196000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21294 (or 21273 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 21721772196000 in words is "twenty-one trillion, seven hundred twenty-one billion, seven hundred seventy-two million, one hundred ninety-six thousand".