87341893992 has 192 divisors, whose sum is σ = 251045730000. Its totient is φ = 27389386752.

The previous prime is 87341893987. The next prime is 87341893993. The reversal of 87341893992 is 29939814378.

It can be written as a sum of positive squares in 8 ways, for example, as 50595304356 + 36746589636 = 224934^2 + 191694^2 .

It is a super-2 number, since 2×87341893992² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87341893993) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 16486288 + ... + 16491584.

Almost surely, 2^87341893992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87341893992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125522865000).

87341893992 is an abundant number, since it is smaller than the sum of its proper divisors (163703836008).

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

87341893992 is a wasteful number, since it uses less digits than its factorization.

87341893992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5533 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 87341893992 in words is "eighty-seven billion, three hundred forty-one million, eight hundred ninety-three thousand, nine hundred ninety-two".