21577920000 has 1200 divisors, whose sum is σ = 93574546560. Its totient is φ = 4313088000.

The previous prime is 21577919947. The next prime is 21577920011. The reversal of 21577920000 is 2977512.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1135679991 + ... + 1135680009.

Almost surely, 2^21577920000 is an apocalyptic number.

21577920000 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 21577920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46787273280).

21577920000 is an abundant number, since it is smaller than the sum of its proper divisors (71996626560).

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

21577920000 is an equidigital number, since it uses as much as digits as its factorization.

21577920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The spelling of 21577920000 in words is "twenty-one billion, five hundred seventy-seven million, nine hundred twenty thousand".