878547947397120 has 14112 divisors, whose sum is σ = 4841439797090880. Its totient is φ = 150252803850240.

The previous prime is 878547947397067. The next prime is 878547947397217. The reversal of 878547947397120 is 21793749745878.

878547947397120 is a `hidden beast` number, since 8 + 7 + 8 + 5 + 4 + 79 + 473 + 9 + 71 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (14112).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 878547947397120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 1007 ways as a sum of consecutive naturals, for example, 46239365652471 + ... + 46239365652489.

Almost surely, 2^{878547947397120} is an apocalyptic number.

878547947397120 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 878547947397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420719898545440).

878547947397120 is an abundant number, since it is smaller than the sum of its proper divisors (3962891849693760).

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

878547947397120 is a wasteful number, since it uses less digits than its factorization.

878547947397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5974456320, while the sum is 81.

The spelling of 878547947397120 in words is "eight hundred seventy-eight trillion, five hundred forty-seven billion, nine hundred forty-seven million, three hundred ninety-seven thousand, one hundred twenty".