87192641290000 has 75 divisors (see below), whose sum is σ = 211104364601977. Its totient is φ = 34876683008000.

The previous prime is 87192641289967. The next prime is 87192641290003. The reversal of 87192641290000 is 9214629178.

The square root of 87192641290000 is 9337700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 19098193541904 + 68094447748096 = 4370148^2 + 8251936^2 .

It is a super-2 number, since 2×87192641290000² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87192641290003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 933723312 + ... + 933816688.

Almost surely, 2^{87192641290000} is an apocalyptic number.

87192641290000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87192641290000 is the 9337700-th square number.

It is an amenable number.

87192641290000 is an abundant number, since it is smaller than the sum of its proper divisors (123911723311977).

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

87192641290000 is an frugal number, since it uses more digits than its factorization.

87192641290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186782 (or 93384 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The spelling of 87192641290000 in words is "eighty-seven trillion, one hundred ninety-two billion, six hundred forty-one million, two hundred ninety thousand".