230596070400 has 1056 divisors, whose sum is σ = 886976563200. Its totient is φ = 58657996800.

The previous prime is 230596070371. The next prime is 230596070413. The reversal of 230596070400 is 4070695032.

230596070400 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 9 + 607 + 0 + 40 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2238796749 + ... + 2238796851.

Almost surely, 2^230596070400 is an apocalyptic number.

230596070400 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 230596070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443488281600).

230596070400 is an abundant number, since it is smaller than the sum of its proper divisors (656380492800).

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

230596070400 is a wasteful number, since it uses less digits than its factorization.

230596070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 230596070400 in words is "two hundred thirty billion, five hundred ninety-six million, seventy thousand, four hundred".