85244930280000 has 560 divisors, whose sum is σ = 313288027240320. Its totient is φ = 22722336000000.

The previous prime is 85244930279989. The next prime is 85244930280073. The reversal of 85244930280000 is 8203944258.

85244930280000 is a `hidden beast` number, since 8 + 524 + 49 + 3 + 0 + 2 + 80 + 0 + 0 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 2755064530 + ... + 2755095470.

Almost surely, 2^{85244930280000} is an apocalyptic number.

85244930280000 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 85244930280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156644013620160).

85244930280000 is an abundant number, since it is smaller than the sum of its proper divisors (228043096960320).

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

85244930280000 is a wasteful number, since it uses less digits than its factorization.

85244930280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33533 (or 33502 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 85244930280000 in words is "eighty-five trillion, two hundred forty-four billion, nine hundred thirty million, two hundred eighty thousand".