87422517000 has 2304 divisors, whose sum is σ = 421779571200. Its totient is φ = 16605388800.

The previous prime is 87422516959. The next prime is 87422517001. The reversal of 87422517000 is 71522478.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87422517001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3800978989 + ... + 3800979011.

It is an arithmetic number, because the mean of its divisors is an integer number (183064050).

Almost surely, 2^87422517000 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 87422517000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210889785600).

87422517000 is an abundant number, since it is smaller than the sum of its proper divisors (334357054200).

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

87422517000 is a wasteful number, since it uses less digits than its factorization.

87422517000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 87422517000 in words is "eighty-seven billion, four hundred twenty-two million, five hundred seventeen thousand".