87991185818800 has 360 divisors, whose sum is σ = 235599185530800. Its totient is φ = 31553219174400.

The previous prime is 87991185818797. The next prime is 87991185818803. The reversal of 87991185818800 is 881858119978.

It is an interprime number because it is at equal distance from previous prime (87991185818797) and next prime (87991185818803).

It is not an unprimeable number, because it can be changed into a prime (87991185818803) 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, 1632553452 + ... + 1632607348.

It is an arithmetic number, because the mean of its divisors is an integer number (654442182030).

Almost surely, 2^{87991185818800} is an apocalyptic number.

87991185818800 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 87991185818800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117799592765400).

87991185818800 is an abundant number, since it is smaller than the sum of its proper divisors (147607999712000).

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

87991185818800 is a wasteful number, since it uses less digits than its factorization.

87991185818800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54405 (or 54383 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 73.

The spelling of 87991185818800 in words is "eighty-seven trillion, nine hundred ninety-one billion, one hundred eighty-five million, eight hundred eighteen thousand, eight hundred".