870546887147520 has 2400 divisors, whose sum is σ = 3544500656188800. Its totient is φ = 204047017574400.

The previous prime is 870546887147411. The next prime is 870546887147569. The reversal of 870546887147520 is 25741788645078.

870546887147520 is a `hidden beast` number, since 8 + 7 + 0 + 5 + 4 + 6 + 8 + 87 + 14 + 7 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 796474736094 + ... + 796474737186.

It is an arithmetic number, because the mean of its divisors is an integer number (1476875273412).

Almost surely, 2^{870546887147520} is an apocalyptic number.

870546887147520 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 870546887147520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1772250328094400).

870546887147520 is an abundant number, since it is smaller than the sum of its proper divisors (2673953769041280).

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

870546887147520 is an equidigital number, since it uses as much as digits as its factorization.

870546887147520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 842956800, while the sum is 72.

The spelling of 870546887147520 in words is "eight hundred seventy trillion, five hundred forty-six billion, eight hundred eighty-seven million, one hundred forty-seven thousand, five hundred twenty".