21348073929600 has 1536 divisors, whose sum is σ = 90985462272000. Its totient is φ = 4833561600000.

The previous prime is 21348073929583. The next prime is 21348073929607. The reversal of 21348073929600 is 692937084312.

21348073929600 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 8 + 0 + 7 + 3 + 9 + 29 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21348073929607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1282081275 + ... + 1282097925.

It is an arithmetic number, because the mean of its divisors is an integer number (59235327000).

Almost surely, 2^{21348073929600} is an apocalyptic number.

21348073929600 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 21348073929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45492731136000).

21348073929600 is an abundant number, since it is smaller than the sum of its proper divisors (69637388342400).

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

21348073929600 is a wasteful number, since it uses less digits than its factorization.

21348073929600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16785 (or 16762 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 21348073929600 in words is "twenty-one trillion, three hundred forty-eight billion, seventy-three million, nine hundred twenty-nine thousand, six hundred".