21791616000 has 1056 divisors, whose sum is σ = 92417235456. Its totient is φ = 4460544000.

The previous prime is 21791615959. The next prime is 21791616023. The reversal of 21791616000 is 61619712.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 325247967 + ... + 325248033.

Almost surely, 2^21791616000 is an apocalyptic number.

21791616000 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 21791616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46208617728).

21791616000 is an abundant number, since it is smaller than the sum of its proper divisors (70625619456).

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

21791616000 is a wasteful number, since it uses less digits than its factorization.

21791616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 21791616000 in words is "twenty-one billion, seven hundred ninety-one million, six hundred sixteen thousand".