23135510400 has 192 divisors, whose sum is σ = 77248798320. Its totient is φ = 6084771840.

The previous prime is 23135510399. The next prime is 23135510471. The reversal of 23135510400 is 401553132.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 684294 + ... + 717306.

Almost surely, 2^23135510400 is an apocalyptic number.

23135510400 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 23135510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38624399160).

23135510400 is an abundant number, since it is smaller than the sum of its proper divisors (54113287920).

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

23135510400 is a wasteful number, since it uses less digits than its factorization.

23135510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33113 (or 33096 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 23135510400 in words is "twenty-three billion, one hundred thirty-five million, five hundred ten thousand, four hundred".