85266820800 has 1260 divisors, whose sum is σ = 377976566880. Its totient is φ = 18776862720.

The previous prime is 85266820787. The next prime is 85266820811. The reversal of 85266820800 is 802866258.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 184161369 + ... + 184161831.

Almost surely, 2^85266820800 is an apocalyptic number.

85266820800 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 85266820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188988283440).

85266820800 is an abundant number, since it is smaller than the sum of its proper divisors (292709746080).

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

85266820800 is a wasteful number, since it uses less digits than its factorization.

85266820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 85266820800 in words is "eighty-five billion, two hundred sixty-six million, eight hundred twenty thousand, eight hundred".