23213974253400 has 2304 divisors, whose sum is σ = 99843359616000. Its totient is φ = 4928665190400.

The previous prime is 23213974253389. The next prime is 23213974253417. The reversal of 23213974253400 is 435247931232.

23213974253400 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 397 + 4 + 253 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 88266061669 + ... + 88266061931.

It is an arithmetic number, because the mean of its divisors is an integer number (43334791500).

Almost surely, 2^{23213974253400} is an apocalyptic number.

23213974253400 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 23213974253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49921679808000).

23213974253400 is an abundant number, since it is smaller than the sum of its proper divisors (76629385362600).

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

23213974253400 is a wasteful number, since it uses less digits than its factorization.

23213974253400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 23213974253400 in words is "twenty-three trillion, two hundred thirteen billion, nine hundred seventy-four million, two hundred fifty-three thousand, four hundred".