21314532400 has 360 divisors, whose sum is σ = 62870618880. Its totient is φ = 6789404160.

The previous prime is 21314532373. The next prime is 21314532401. The reversal of 21314532400 is 423541312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (21314532401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119075511 + ... + 119075689.

It is an arithmetic number, because the mean of its divisors is an integer number (174640608).

Almost surely, 2^21314532400 is an apocalyptic number.

21314532400 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 21314532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31435309440).

21314532400 is an abundant number, since it is smaller than the sum of its proper divisors (41556086480).

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

21314532400 is a wasteful number, since it uses less digits than its factorization.

21314532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 21314532400 in words is "twenty-one billion, three hundred fourteen million, five hundred thirty-two thousand, four hundred".