87866691037920 has 576 divisors, whose sum is σ = 312454241648640. Its totient is φ = 22460704358400.

The previous prime is 87866691037903. The next prime is 87866691037921. The reversal of 87866691037920 is 2973019666878.

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 (87866691037921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3633996391 + ... + 3634020569.

It is an arithmetic number, because the mean of its divisors is an integer number (542455280640).

Almost surely, 2^{87866691037920} is an apocalyptic number.

87866691037920 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 87866691037920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156227120824320).

87866691037920 is an abundant number, since it is smaller than the sum of its proper divisors (224587550610720).

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

87866691037920 is a wasteful number, since it uses less digits than its factorization.

87866691037920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24999 (or 24988 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 87866691037920 in words is "eighty-seven trillion, eight hundred sixty-six billion, six hundred ninety-one million, thirty-seven thousand, nine hundred twenty".