235282577820264 has 384 divisors, whose sum is σ = 694155807072000. Its totient is φ = 71565102415872.

The previous prime is 235282577820239. The next prime is 235282577820281. The reversal of 235282577820264 is 462028775282532.

235282577820264 is a `hidden beast` number, since 2 + 3 + 5 + 282 + 5 + 7 + 78 + 20 + 264 = 666.

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, 34707560827 + ... + 34707567605.

It is an arithmetic number, because the mean of its divisors is an integer number (1807697414250).

Almost surely, 2^{235282577820264} is an apocalyptic number.

235282577820264 is a gapful number since it is divisible by the number (24) 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 235282577820264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347077903536000).

235282577820264 is an abundant number, since it is smaller than the sum of its proper divisors (458873229251736).

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

235282577820264 is a wasteful number, since it uses less digits than its factorization.

235282577820264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8137 (or 8130 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 63.

The spelling of 235282577820264 in words is "two hundred thirty-five trillion, two hundred eighty-two billion, five hundred seventy-seven million, eight hundred twenty thousand, two hundred sixty-four".