234265540053600 has 864 divisors, whose sum is σ = 962227669987584. Its totient is φ = 53059113676800.

The previous prime is 234265540053593. The next prime is 234265540053607. The reversal of 234265540053600 is 6350045562432.

234265540053600 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 65 + 54 + 0 + 0 + 536 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (234265540053593) and next prime (234265540053607).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234265540053607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 76833402 + ... + 79824198.

It is an arithmetic number, because the mean of its divisors is an integer number (1113689432856).

Almost surely, 2^{234265540053600} is an apocalyptic number.

234265540053600 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 234265540053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481113834993792).

234265540053600 is an abundant number, since it is smaller than the sum of its proper divisors (727962129933984).

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

234265540053600 is a wasteful number, since it uses less digits than its factorization.

234265540053600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990900 (or 2990884 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 234265540053600 in words is "two hundred thirty-four trillion, two hundred sixty-five billion, five hundred forty million, fifty-three thousand, six hundred".