887615649239040 has 676 divisors, whose sum is σ = 3195063445062324. Its totient is φ = 236694604087296.

The previous prime is 887615649239023. The next prime is 887615649239113. The reversal of 887615649239040 is 40932946516788.

887615649239040 is a `hidden beast` number, since 8 + 8 + 7 + 6 + 1 + 5 + 6 + 492 + 3 + 90 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 454618814091264 + 432996835147776 = 21321792^2 + 20808576^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 887615649239040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 10883870904 + ... + 10883952456.

It is a 1-persistent number, because it is pandigital, but 2⋅887615649239040 = 1775231298478080 is not.

Almost surely, 2^{887615649239040} is an apocalyptic number.

887615649239040 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 887615649239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597531722531162).

887615649239040 is an abundant number, since it is smaller than the sum of its proper divisors (2307447795823284).

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

887615649239040 is an frugal number, since it uses more digits than its factorization.

887615649239040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81618 (or 81563 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 887615649239040 in words is "eight hundred eighty-seven trillion, six hundred fifteen billion, six hundred forty-nine million, two hundred thirty-nine thousand, forty".