88023188352240 has 400 divisors, whose sum is σ = 321846314803200. Its totient is φ = 22234787587584.

The previous prime is 88023188352233. The next prime is 88023188352271. The reversal of 88023188352240 is 4225388132088.

88023188352240 is a `hidden beast` number, since 8 + 8 + 0 + 2 + 31 + 8 + 83 + 522 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1162091809 + ... + 1162167551.

It is an arithmetic number, because the mean of its divisors is an integer number (804615787008).

Almost surely, 2^{88023188352240} is an apocalyptic number.

88023188352240 is a gapful number since it is divisible by the number (80) 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 88023188352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160923157401600).

88023188352240 is an abundant number, since it is smaller than the sum of its proper divisors (233823126450960).

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

88023188352240 is a wasteful number, since it uses less digits than its factorization.

88023188352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85226 (or 85211 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 88023188352240 in words is "eighty-eight trillion, twenty-three billion, one hundred eighty-eight million, three hundred fifty-two thousand, two hundred forty".