21651801120 has 768 divisors, whose sum is σ = 86220288000. Its totient is φ = 5041668096.

The previous prime is 21651801109. The next prime is 21651801131. The reversal of 21651801120 is 2110815612.

21651801120 is a `hidden beast` number, since 2 + 1 + 651 + 8 + 0 + 1 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21651801109) and next prime (21651801131).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82326109 + ... + 82326371.

It is an arithmetic number, because the mean of its divisors is an integer number (112266000).

Almost surely, 2^21651801120 is an apocalyptic number.

21651801120 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 21651801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43110144000).

21651801120 is an abundant number, since it is smaller than the sum of its proper divisors (64568486880).

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

21651801120 is a wasteful number, since it uses less digits than its factorization.

21651801120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The spelling of 21651801120 in words is "twenty-one billion, six hundred fifty-one million, eight hundred one thousand, one hundred twenty".