87417571397952 has 448 divisors, whose sum is σ = 251802058752000. Its totient is φ = 26693371600896.

The previous prime is 87417571397921. The next prime is 87417571397963. The reversal of 87417571397952 is 25979317571478.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4213087674 + ... + 4213108422.

Almost surely, 2^{87417571397952} 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 87417571397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125901029376000).

87417571397952 is an abundant number, since it is smaller than the sum of its proper divisors (164384487354048).

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

87417571397952 is a wasteful number, since it uses less digits than its factorization.

87417571397952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21270 (or 21260 counting only the distinct ones).

The product of its digits is 933508800, while the sum is 75.

The spelling of 87417571397952 in words is "eighty-seven trillion, four hundred seventeen billion, five hundred seventy-one million, three hundred ninety-seven thousand, nine hundred fifty-two".