35896887264 has 384 divisors, whose sum is σ = 116678016000. Its totient is φ = 9632286720.

The previous prime is 35896887263. The next prime is 35896887337. The reversal of 35896887264 is 46278869853.

35896887264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 35896887195 and 35896887204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35896887263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113239234 + ... + 113239550.

It is an arithmetic number, because the mean of its divisors is an integer number (303849000).

Almost surely, 2^35896887264 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 35896887264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58339008000).

35896887264 is an abundant number, since it is smaller than the sum of its proper divisors (80781128736).

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

35896887264 is a wasteful number, since it uses less digits than its factorization.

35896887264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 529 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 66.

The spelling of 35896887264 in words is "thirty-five billion, eight hundred ninety-six million, eight hundred eighty-seven thousand, two hundred sixty-four".