85263692411520 has 768 divisors, whose sum is σ = 349173602668800. Its totient is φ = 19476331462656.

The previous prime is 85263692411503. The next prime is 85263692411537. The reversal of 85263692411520 is 2511429636258.

85263692411520 is a `hidden beast` number, since 8 + 5 + 2 + 6 + 369 + 241 + 15 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (85263692411503) and next prime (85263692411537).

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 95 ways as a sum of consecutive naturals, for example, 1751597422 + ... + 1751646098.

It is an arithmetic number, because the mean of its divisors is an integer number (454653128475).

Almost surely, 2^{85263692411520} is an apocalyptic number.

85263692411520 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 85263692411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174586801334400).

85263692411520 is an abundant number, since it is smaller than the sum of its proper divisors (263909910257280).

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

85263692411520 is a wasteful number, since it uses less digits than its factorization.

85263692411520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50327 (or 50303 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 85263692411520 in words is "eighty-five trillion, two hundred sixty-three billion, six hundred ninety-two million, four hundred eleven thousand, five hundred twenty".