22851350400 has 384 divisors, whose sum is σ = 78923520000. Its totient is φ = 5803499520.

The previous prime is 22851350399. The next prime is 22851350419. The reversal of 22851350400 is 405315822.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 21993081 + ... + 21994119.

It is an arithmetic number, because the mean of its divisors is an integer number (205530000).

Almost surely, 2^22851350400 is an apocalyptic number.

22851350400 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 22851350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39461760000).

22851350400 is an abundant number, since it is smaller than the sum of its proper divisors (56072169600).

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

22851350400 is a wasteful number, since it uses less digits than its factorization.

22851350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 22851350400 in words is "twenty-two billion, eight hundred fifty-one million, three hundred fifty thousand, four hundred".