87581574000 has 480 divisors, whose sum is σ = 318798095616. Its totient is φ = 23239353600.

The previous prime is 87581573999. The next prime is 87581574019. The reversal of 87581574000 is 47518578.

It is a happy number.

87581574000 is a `hidden beast` number, since 8 + 75 + 8 + 1 + 574 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149201707 + ... + 149202293.

Almost surely, 2^87581574000 is an apocalyptic number.

87581574000 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 87581574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159399047808).

87581574000 is an abundant number, since it is smaller than the sum of its proper divisors (231216521616).

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

87581574000 is a wasteful number, since it uses less digits than its factorization.

87581574000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 87581574000 in words is "eighty-seven billion, five hundred eighty-one million, five hundred seventy-four thousand".