87108455196000 has 576 divisors, whose sum is σ = 356094008524800. Its totient is φ = 19753721164800.

The previous prime is 87108455195987. The next prime is 87108455196013. The reversal of 87108455196000 is 69155480178.

It is a happy number.

87108455196000 is a `hidden beast` number, since 8 + 7 + 1 + 0 + 84 + 551 + 9 + 6 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87108455195987) and next prime (87108455196013).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30643101 + ... + 33364899.

It is an arithmetic number, because the mean of its divisors is an integer number (618218764800).

Almost surely, 2^{87108455196000} is an apocalyptic number.

87108455196000 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 87108455196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178047004262400).

87108455196000 is an abundant number, since it is smaller than the sum of its proper divisors (268985553328800).

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

87108455196000 is a wasteful number, since it uses less digits than its factorization.

87108455196000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721964 (or 2721943 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 87108455196000 in words is "eighty-seven trillion, one hundred eight billion, four hundred fifty-five million, one hundred ninety-six thousand".