85453702963200 has 5040 divisors, whose sum is σ = 398372347064736. Its totient is φ = 17887238553600.

The previous prime is 85453702963193. The next prime is 85453702963201. The reversal of 85453702963200 is 236920735458.

85453702963200 is a `hidden beast` number, since 8 + 5 + 4 + 5 + 370 + 2 + 9 + 63 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (85453702963201) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 524255846319 + ... + 524255846481.

Almost surely, 2^{85453702963200} is an apocalyptic number.

85453702963200 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 85453702963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199186173532368).

85453702963200 is an abundant number, since it is smaller than the sum of its proper divisors (312918644101536).

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

85453702963200 is a wasteful number, since it uses less digits than its factorization.

85453702963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 85453702963200 in words is "eighty-five trillion, four hundred fifty-three billion, seven hundred two million, nine hundred sixty-three thousand, two hundred".