88761600000 has 864 divisors, whose sum is σ = 339351405120. Its totient is φ = 22302720000.

The previous prime is 88761599999. The next prime is 88761600001. The reversal of 88761600000 is 616788.

It is an interprime number because it is at equal distance from previous prime (88761599999) and next prime (88761600001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88761600001) 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, 1324799967 + ... + 1324800033.

It is an arithmetic number, because the mean of its divisors is an integer number (392767830).

Almost surely, 2^88761600000 is an apocalyptic number.

88761600000 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 88761600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169675702560).

88761600000 is an abundant number, since it is smaller than the sum of its proper divisors (250589805120).

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

88761600000 is an equidigital number, since it uses as much as digits as its factorization.

88761600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 88761600000 in words is "eighty-eight billion, seven hundred sixty-one million, six hundred thousand".