85408833510 has 1024 divisors, whose sum is σ = 335475302400. Its totient is φ = 14863564800.

The previous prime is 85408833457. The next prime is 85408833541. The reversal of 85408833510 is 1533880458.

85408833510 is a `hidden beast` number, since 8 + 54 + 0 + 8 + 83 + 3 + 510 = 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 511 ways as a sum of consecutive naturals, for example, 133242790 + ... + 133243430.

It is an arithmetic number, because the mean of its divisors is an integer number (327612600).

Almost surely, 2^85408833510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85408833510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167737651200).

85408833510 is an abundant number, since it is smaller than the sum of its proper divisors (250066468890).

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

85408833510 is a wasteful number, since it uses less digits than its factorization.

85408833510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 85408833510 in words is "eighty-five billion, four hundred eight million, eight hundred thirty-three thousand, five hundred ten".