86587902450 has 720 divisors, whose sum is σ = 292385348640. Its totient is φ = 18929272320.

The previous prime is 86587902329. The next prime is 86587902461. The reversal of 86587902450 is 5420978568.

86587902450 is a `hidden beast` number, since 8 + 6 + 587 + 9 + 0 + 2 + 4 + 50 = 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 359 ways as a sum of consecutive naturals, for example, 622934481 + ... + 622934619.

It is an arithmetic number, because the mean of its divisors is an integer number (406090762).

Almost surely, 2^86587902450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86587902450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146192674320).

86587902450 is an abundant number, since it is smaller than the sum of its proper divisors (205797446190).

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

86587902450 is a wasteful number, since it uses less digits than its factorization.

86587902450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 86587902450 in words is "eighty-six billion, five hundred eighty-seven million, nine hundred two thousand, four hundred fifty".