232090773692400 has 960 divisors, whose sum is σ = 953782604006400. Its totient is φ = 52504588800000.

The previous prime is 232090773692399. The next prime is 232090773692411. The reversal of 232090773692400 is 4296377090232.

232090773692400 is a `hidden beast` number, since 2 + 3 + 20 + 90 + 7 + 73 + 69 + 2 + 400 = 666.

It is a super-2 number, since 2×232090773692400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33986052186 + ... + 33986059014.

It is an arithmetic number, because the mean of its divisors is an integer number (993523545840).

Almost surely, 2^{232090773692400} is an apocalyptic number.

232090773692400 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 232090773692400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476891302003200).

232090773692400 is an abundant number, since it is smaller than the sum of its proper divisors (721691830314000).

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

232090773692400 is a wasteful number, since it uses less digits than its factorization.

232090773692400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11415 (or 11398 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 232090773692400 in words is "two hundred thirty-two trillion, ninety billion, seven hundred seventy-three million, six hundred ninety-two thousand, four hundred".