88155417852 has 120 divisors (see below), whose sum is σ = 231781888800. Its totient is φ = 29216536704.

The previous prime is 88155417803. The next prime is 88155417859. The reversal of 88155417852 is 25871455188.

It is a happy number.

88155417852 is a `hidden beast` number, since 8 + 8 + 1 + 554 + 1 + 7 + 85 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88155417859) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71728774 + ... + 71730002.

It is an arithmetic number, because the mean of its divisors is an integer number (1931515740).

Almost surely, 2^88155417852 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88155417852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115890944400).

88155417852 is an abundant number, since it is smaller than the sum of its proper divisors (143626470948).

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

88155417852 is a wasteful number, since it uses less digits than its factorization.

88155417852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2326 counting only the distinct ones).

The product of its digits is 3584000, while the sum is 54.

The spelling of 88155417852 in words is "eighty-eight billion, one hundred fifty-five million, four hundred seventeen thousand, eight hundred fifty-two".