23061532712400 has 3840 divisors, whose sum is σ = 109581430784000. Its totient is φ = 4527707258880.

The previous prime is 23061532712389. The next prime is 23061532712401. The reversal of 23061532712400 is 421723516032.

23061532712400 is a `hidden beast` number, since 2 + 3 + 0 + 615 + 3 + 27 + 12 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×23061532712400² (a number of 28 digits) contains 22 as substring.

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 (23061532712401) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 119489806704 + ... + 119489806896.

Almost surely, 2^{23061532712400} is an apocalyptic number.

23061532712400 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 23061532712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54790715392000).

23061532712400 is an abundant number, since it is smaller than the sum of its proper divisors (86519898071600).

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

23061532712400 is a wasteful number, since it uses less digits than its factorization.

23061532712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 23061532712400 in words is "twenty-three trillion, sixty-one billion, five hundred thirty-two million, seven hundred twelve thousand, four hundred".