88045251066828 has 144 divisors (see below), whose sum is σ = 244036185120000. Its totient is φ = 26543622188160.

The previous prime is 88045251066827. The next prime is 88045251066887. The reversal of 88045251066828 is 82866015254088.

88045251066828 is a `hidden beast` number, since 8 + 8 + 0 + 4 + 52 + 510 + 6 + 68 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (88045251066823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862773975 + ... + 862876017.

It is an arithmetic number, because the mean of its divisors is an integer number (1694695730000).

Almost surely, 2^{88045251066828} 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 88045251066828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122018092560000).

88045251066828 is an abundant number, since it is smaller than the sum of its proper divisors (155990934053172).

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

88045251066828 is a wasteful number, since it uses less digits than its factorization.

88045251066828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113212 (or 113207 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 88045251066828 in words is "eighty-eight trillion, forty-five billion, two hundred fifty-one million, sixty-six thousand, eight hundred twenty-eight".