21346502400 has 864 divisors, whose sum is σ = 84309603840. Its totient is φ = 5271552000.

The previous prime is 21346502363. The next prime is 21346502407. The reversal of 21346502400 is 420564312.

21346502400 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 650 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21346502407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162950335 + ... + 162950465.

It is an arithmetic number, because the mean of its divisors is an integer number (97580560).

Almost surely, 2^21346502400 is an apocalyptic number.

21346502400 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 21346502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42154801920).

21346502400 is an abundant number, since it is smaller than the sum of its proper divisors (62963101440).

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

21346502400 is a wasteful number, since it uses less digits than its factorization.

21346502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 21346502400 in words is "twenty-one billion, three hundred forty-six million, five hundred two thousand, four hundred".