23135151560400 has 960 divisors, whose sum is σ = 93824352000000. Its totient is φ = 5359586918400.

The previous prime is 23135151560399. The next prime is 23135151560401. The reversal of 23135151560400 is 406515153132.

23135151560400 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 5 + 1 + 51 + 560 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (23135151560399) and next prime (23135151560401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23135151560401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3412764211 + ... + 3412770989.

It is an arithmetic number, because the mean of its divisors is an integer number (97733700000).

Almost surely, 2^{23135151560400} is an apocalyptic number.

23135151560400 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 23135151560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46912176000000).

23135151560400 is an abundant number, since it is smaller than the sum of its proper divisors (70689200439600).

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

23135151560400 is a wasteful number, since it uses less digits than its factorization.

23135151560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8089 (or 8072 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 23135151560400 in words is "twenty-three trillion, one hundred thirty-five billion, one hundred fifty-one million, five hundred sixty thousand, four hundred".