23535120400 has 120 divisors (see below), whose sum is σ = 62135246304. Its totient is φ = 8495539200.

The previous prime is 23535120347. The next prime is 23535120403. The reversal of 23535120400 is 402153532.

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 (23535120403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583279 + ... + 622321.

Almost surely, 2^23535120400 is an apocalyptic number.

23535120400 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 23535120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31067623152).

23535120400 is an abundant number, since it is smaller than the sum of its proper divisors (38600125904).

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

23535120400 is a wasteful number, since it uses less digits than its factorization.

23535120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39209 (or 39198 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 23535120400 its reverse (402153532), we get a palindrome (23937273932).

The spelling of 23535120400 in words is "twenty-three billion, five hundred thirty-five million, one hundred twenty thousand, four hundred".