87565199040 has 560 divisors, whose sum is σ = 350798367744. Its totient is φ = 20541081600.

The previous prime is 87565198913. The next prime is 87565199089. The reversal of 87565199040 is 4099156578.

87565199040 is a `hidden beast` number, since 87 + 5 + 6 + 519 + 9 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8833767 + ... + 8843673.

Almost surely, 2^87565199040 is an apocalyptic number.

87565199040 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 87565199040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175399183872).

87565199040 is an abundant number, since it is smaller than the sum of its proper divisors (263233168704).

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

87565199040 is a wasteful number, since it uses less digits than its factorization.

87565199040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9978 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 87565199040 in words is "eighty-seven billion, five hundred sixty-five million, one hundred ninety-nine thousand, forty".