21054038400 has 480 divisors, whose sum is σ = 79542955800. Its totient is φ = 5480939520.

The previous prime is 21054038363. The next prime is 21054038413. The reversal of 21054038400 is 483045012.

21054038400 is a `hidden beast` number, since 210 + 5 + 40 + 3 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11144656 + ... + 11146544.

Almost surely, 2^21054038400 is an apocalyptic number.

21054038400 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 21054038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39771477900).

21054038400 is an abundant number, since it is smaller than the sum of its proper divisors (58488917400).

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

21054038400 is a wasteful number, since it uses less digits than its factorization.

21054038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 21054038400 in words is "twenty-one billion, fifty-four million, thirty-eight thousand, four hundred".