85915952640 has 1280 divisors, whose sum is σ = 368256430080. Its totient is φ = 18579456000.

The previous prime is 85915952627. The next prime is 85915952657. The reversal of 85915952640 is 4625951958.

85915952640 is a `hidden beast` number, since 8 + 5 + 9 + 1 + 595 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×85915952640³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1210083805 + ... + 1210083875.

It is an arithmetic number, because the mean of its divisors is an integer number (287700336).

Almost surely, 2^85915952640 is an apocalyptic number.

85915952640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85915952640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184128215040).

85915952640 is an abundant number, since it is smaller than the sum of its proper divisors (282340477440).

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

85915952640 is a wasteful number, since it uses less digits than its factorization.

85915952640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 85915952640 in words is "eighty-five billion, nine hundred fifteen million, nine hundred fifty-two thousand, six hundred forty".