8115861897000 has 1536 divisors, whose sum is σ = 34253426188800. Its totient is φ = 1702785024000.

The previous prime is 8115861896971. The next prime is 8115861897067. The reversal of 8115861897000 is 7981685118.

It is a happy number.

8115861897000 is a `hidden beast` number, since 8 + 1 + 15 + 8 + 618 + 9 + 7 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7592012466 + ... + 7592013534.

It is an arithmetic number, because the mean of its divisors is an integer number (22300407675).

Almost surely, 2^{8115861897000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8115861897000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17126713094400).

8115861897000 is an abundant number, since it is smaller than the sum of its proper divisors (26137564291800).

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

8115861897000 is a wasteful number, since it uses less digits than its factorization.

8115861897000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 54.

The spelling of 8115861897000 in words is "eight trillion, one hundred fifteen billion, eight hundred sixty-one million, eight hundred ninety-seven thousand".