235151138880 has 896 divisors, whose sum is σ = 1001983426560. Its totient is φ = 51387291648.

The previous prime is 235151138863. The next prime is 235151138899. The reversal of 235151138880 is 88831151532.

235151138880 is a `hidden beast` number, since 2 + 3 + 51 + 511 + 3 + 8 + 8 + 80 = 666.

It is a super-2 number, since 2×235151138880² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112673197 + ... + 112675283.

Almost surely, 2^235151138880 is an apocalyptic number.

235151138880 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 235151138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500991713280).

235151138880 is an abundant number, since it is smaller than the sum of its proper divisors (766832287680).

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

235151138880 is an equidigital number, since it uses as much as digits as its factorization.

235151138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

It can be divided in two parts, 2351511 and 38880, that added together give a triangular number (2390391 = T₂₁₈₆).

The spelling of 235151138880 in words is "two hundred thirty-five billion, one hundred fifty-one million, one hundred thirty-eight thousand, eight hundred eighty".