235972053408 has 1152 divisors, whose sum is σ = 875684597760. Its totient is φ = 54840360960.

The previous prime is 235972053403. The next prime is 235972053433. The reversal of 235972053408 is 804350279532.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (235972053403) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1697640603 + ... + 1697640741.

It is an arithmetic number, because the mean of its divisors is an integer number (760142880).

Almost surely, 2^235972053408 is an apocalyptic number.

235972053408 is a gapful number since it is divisible by the number (28) 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 235972053408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437842298880).

235972053408 is an abundant number, since it is smaller than the sum of its proper divisors (639712544352).

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

235972053408 is a wasteful number, since it uses less digits than its factorization.

235972053408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 235972053408 in words is "two hundred thirty-five billion, nine hundred seventy-two million, fifty-three thousand, four hundred eight".