88525856231820 has 216 divisors, whose sum is σ = 312855627664944. Its totient is φ = 20203011263232.

The previous prime is 88525856231797. The next prime is 88525856231821. The reversal of 88525856231820 is 2813265852588.

88525856231820 is a `hidden beast` number, since 8 + 8 + 5 + 2 + 58 + 562 + 3 + 18 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (88525856231821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2133519 + ... + 13476038.

It is an arithmetic number, because the mean of its divisors is an integer number (1448405683634).

Almost surely, 2^{88525856231820} 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 88525856231820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156427813832472).

88525856231820 is an abundant number, since it is smaller than the sum of its proper divisors (224329771433124).

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

88525856231820 is a wasteful number, since it uses less digits than its factorization.

88525856231820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15610229 (or 15610217 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 88525856231820 in words is "eighty-eight trillion, five hundred twenty-five billion, eight hundred fifty-six million, two hundred thirty-one thousand, eight hundred twenty".