87145970839200 has 2592 divisors, whose sum is σ = 403017721089984. Its totient is φ = 18212233052160.

The previous prime is 87145970839163. The next prime is 87145970839241. The reversal of 87145970839200 is 293807954178.

87145970839200 is a `hidden beast` number, since 8 + 7 + 1 + 4 + 597 + 0 + 8 + 39 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 13250106312 + ... + 13250112888.

It is an arithmetic number, because the mean of its divisors is an integer number (155485231902).

Almost surely, 2^{87145970839200} is an apocalyptic number.

87145970839200 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 87145970839200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201508860544992).

87145970839200 is an abundant number, since it is smaller than the sum of its proper divisors (315871750250784).

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

87145970839200 is a wasteful number, since it uses less digits than its factorization.

87145970839200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6746 (or 6714 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 87145970839200 in words is "eighty-seven trillion, one hundred forty-five billion, nine hundred seventy million, eight hundred thirty-nine thousand, two hundred".