21054801600 has 252 divisors, whose sum is σ = 85524679344. Its totient is φ = 4812503040.

The previous prime is 21054801587. The next prime is 21054801613. The reversal of 21054801600 is 610845012.

21054801600 is a `hidden beast` number, since 2 + 1 + 0 + 54 + 8 + 0 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (21054801587) and next prime (21054801613).

It is a tau number, because it is divible by the number of its divisors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3639 + ... + 205238.

Almost surely, 2^21054801600 is an apocalyptic number.

21054801600 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 21054801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42762339672).

21054801600 is an abundant number, since it is smaller than the sum of its proper divisors (64469877744).

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

21054801600 is a wasteful number, since it uses less digits than its factorization.

21054801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208912 (or 208894 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 21054801600 in words is "twenty-one billion, fifty-four million, eight hundred one thousand, six hundred".