21196887164992 has 448 divisors, whose sum is σ = 54042848317440. Its totient is φ = 8010482688000.

The previous prime is 21196887164987. The next prime is 21196887165001. The reversal of 21196887164992 is 29946178869112.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 9031480363 + ... + 9031482709.

Almost surely, 2^{21196887164992} is an apocalyptic number.

21196887164992 is a gapful number since it is divisible by the number (22) 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 21196887164992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27021424158720).

21196887164992 is an abundant number, since it is smaller than the sum of its proper divisors (32845961152448).

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

21196887164992 is a wasteful number, since it uses less digits than its factorization.

21196887164992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810 (or 2800 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 73.

The spelling of 21196887164992 in words is "twenty-one trillion, one hundred ninety-six billion, eight hundred eighty-seven million, one hundred sixty-four thousand, nine hundred ninety-two".