85758827918400 has 1512 divisors, whose sum is σ = 389053138396104. Its totient is φ = 17752670208000.

The previous prime is 85758827918363. The next prime is 85758827918417. The reversal of 85758827918400 is 481972885758.

85758827918400 is a `hidden beast` number, since 8 + 5 + 7 + 58 + 82 + 7 + 91 + 8 + 400 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4275565249536 + 81483262668864 = 2067744^2 + 9026808^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 486070200 + ... + 486246600.

It is an arithmetic number, because the mean of its divisors is an integer number (257310276717).

Almost surely, 2^{85758827918400} is an apocalyptic number.

85758827918400 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 85758827918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194526569198052).

85758827918400 is an abundant number, since it is smaller than the sum of its proper divisors (303294310477704).

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

85758827918400 is a wasteful number, since it uses less digits than its factorization.

85758827918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176509 (or 176484 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 72.

The spelling of 85758827918400 in words is "eighty-five trillion, seven hundred fifty-eight billion, eight hundred twenty-seven million, nine hundred eighteen thousand, four hundred".