23035622400 has 1188 divisors, whose sum is σ = 102187091552. Its totient is φ = 5036359680.

The previous prime is 23035622381. The next prime is 23035622417. The reversal of 23035622400 is 422653032.

23035622400 is a `hidden beast` number, since 2 + 3 + 0 + 35 + 622 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1001548789 + ... + 1001548811.

Almost surely, 2^23035622400 is an apocalyptic number.

23035622400 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 23035622400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51093545776).

23035622400 is an abundant number, since it is smaller than the sum of its proper divisors (79151469152).

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

23035622400 is an equidigital number, since it uses as much as digits as its factorization.

23035622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 23035622400 in words is "twenty-three billion, thirty-five million, six hundred twenty-two thousand, four hundred".