21392694400 has 576 divisors, whose sum is σ = 68344732800. Its totient is φ = 6541516800.

The previous prime is 21392694391. The next prime is 21392694439. The reversal of 21392694400 is 449629312.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136259122 + ... + 136259278.

It is an arithmetic number, because the mean of its divisors is an integer number (118654050).

Almost surely, 2^21392694400 is an apocalyptic number.

21392694400 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 21392694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34172366400).

21392694400 is an abundant number, since it is smaller than the sum of its proper divisors (46952038400).

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

21392694400 is a wasteful number, since it uses less digits than its factorization.

21392694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 21392694400 in words is "twenty-one billion, three hundred ninety-two million, six hundred ninety-four thousand, four hundred".