87992086050 has 384 divisors, whose sum is σ = 269879869440. Its totient is φ = 21164328000.

The previous prime is 87992085977. The next prime is 87992086109. The reversal of 87992086050 is 5068029978.

It is a happy number.

87992086050 is a `hidden beast` number, since 8 + 7 + 9 + 9 + 20 + 8 + 605 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 229744159 + ... + 229744541.

It is an arithmetic number, because the mean of its divisors is an integer number (702812160).

Almost surely, 2^87992086050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87992086050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134939934720).

87992086050 is an abundant number, since it is smaller than the sum of its proper divisors (181887783390).

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

87992086050 is a wasteful number, since it uses less digits than its factorization.

87992086050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 87992086050 in words is "eighty-seven billion, nine hundred ninety-two million, eighty-six thousand, fifty".