21825413400 has 288 divisors, whose sum is σ = 78899235840. Its totient is φ = 4976375040.

The previous prime is 21825413387. The next prime is 21825413431. The reversal of 21825413400 is 431452812.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 17845189 + ... + 17846411.

It is an arithmetic number, because the mean of its divisors is an integer number (273955680).

Almost surely, 2^21825413400 is an apocalyptic number.

21825413400 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 21825413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39449617920).

21825413400 is an abundant number, since it is smaller than the sum of its proper divisors (57073822440).

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

21825413400 is a wasteful number, since it uses less digits than its factorization.

21825413400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863 (or 1847 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 21825413400 in words is "twenty-one billion, eight hundred twenty-five million, four hundred thirteen thousand, four hundred".