88022263680 has 1024 divisors, whose sum is σ = 362734848000. Its totient is φ = 19986186240.

The previous prime is 88022263673. The next prime is 88022263697. The reversal of 88022263680 is 8636222088.

88022263680 is a `hidden beast` number, since 8 + 8 + 0 + 2 + 2 + 2 + 636 + 8 + 0 = 666.

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

It is a congruent number.

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, 174994309 + ... + 174994811.

It is an arithmetic number, because the mean of its divisors is an integer number (354233250).

Almost surely, 2^88022263680 is an apocalyptic number.

88022263680 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 88022263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181367424000).

88022263680 is an abundant number, since it is smaller than the sum of its proper divisors (274712584320).

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

88022263680 is a wasteful number, since it uses less digits than its factorization.

88022263680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 88022263680 in words is "eighty-eight billion, twenty-two million, two hundred sixty-three thousand, six hundred eighty".