85438450944000 has 9216 divisors, whose sum is σ = 453032745984000. Its totient is φ = 15606743040000.

The previous prime is 85438450943999. The next prime is 85438450944107. The reversal of 85438450944000 is 44905483458.

85438450944000 is a `hidden beast` number, since 8 + 54 + 3 + 84 + 509 + 4 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9216).

It is a super-2 number, since 2×85438450944000² (a number of 29 digits) contains 22 as substring.

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 767 ways as a sum of consecutive naturals, for example, 1203358463965 + ... + 1203358464035.

It is an arithmetic number, because the mean of its divisors is an integer number (49157199000).

Almost surely, 2^{85438450944000} is an apocalyptic number.

85438450944000 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 85438450944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226516372992000).

85438450944000 is an abundant number, since it is smaller than the sum of its proper divisors (367594295040000).

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

85438450944000 is a wasteful number, since it uses less digits than its factorization.

85438450944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 85438450944000 in words is "eighty-five trillion, four hundred thirty-eight billion, four hundred fifty million, nine hundred forty-four thousand".