85769518464 has 480 divisors, whose sum is σ = 314419608360. Its totient is φ = 23061749760.

The previous prime is 85769518427. The next prime is 85769518469. The reversal of 85769518464 is 46481596758.

85769518464 is a `hidden beast` number, since 8 + 5 + 76 + 9 + 518 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85769518469) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8631579 + ... + 8641509.

Almost surely, 2^85769518464 is an apocalyptic number.

85769518464 is a gapful number since it is divisible by the number (84) 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 85769518464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157209804180).

85769518464 is an abundant number, since it is smaller than the sum of its proper divisors (228650089896).

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

85769518464 is a wasteful number, since it uses less digits than its factorization.

85769518464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9988 (or 9960 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 85769518464 in words is "eighty-five billion, seven hundred sixty-nine million, five hundred eighteen thousand, four hundred sixty-four".