88661863198080 has 1024 divisors, whose sum is σ = 335061906912000. Its totient is φ = 22396623814656.

The previous prime is 88661863198043. The next prime is 88661863198087. The reversal of 88661863198080 is 8089136816688.

88661863198080 is a `hidden beast` number, since 8 + 86 + 6 + 1 + 86 + 319 + 80 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88661863198087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2151287554 + ... + 2151328766.

Almost surely, 2^{88661863198080} is an apocalyptic number.

88661863198080 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 88661863198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167530953456000).

88661863198080 is an abundant number, since it is smaller than the sum of its proper divisors (246400043713920).

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

88661863198080 is an equidigital number, since it uses as much as digits as its factorization.

88661863198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41335 (or 41305 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 72.

The spelling of 88661863198080 in words is "eighty-eight trillion, six hundred sixty-one billion, eight hundred sixty-three million, one hundred ninety-eight thousand, eighty".