870049557170640 has 2880 divisors, whose sum is σ = 4021381124706816. Its totient is φ = 163189555200000.

The previous prime is 870049557170569. The next prime is 870049557170653. The reversal of 870049557170640 is 46071755940078.

870049557170640 is a `hidden beast` number, since 8 + 7 + 0 + 0 + 4 + 9 + 557 + 1 + 70 + 6 + 4 + 0 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 102346726390 + ... + 102346734890.

Almost surely, 2^{870049557170640} is an apocalyptic number.

870049557170640 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 870049557170640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010690562353408).

870049557170640 is an abundant number, since it is smaller than the sum of its proper divisors (3151331567536176).

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

870049557170640 is a wasteful number, since it uses less digits than its factorization.

870049557170640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8730 (or 8690 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 870049557170640 in words is "eight hundred seventy trillion, forty-nine billion, five hundred fifty-seven million, one hundred seventy thousand, six hundred forty".