85213198540800 has 1680 divisors, whose sum is σ = 349138463989392. Its totient is φ = 20371577241600.

The previous prime is 85213198540787. The next prime is 85213198540831. The reversal of 85213198540800 is 804589131258.

85213198540800 is a `hidden beast` number, since 8 + 5 + 2 + 1 + 3 + 1 + 98 + 540 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×85213198540800² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13320803202 + ... + 13320809598.

Almost surely, 2^{85213198540800} is an apocalyptic number.

85213198540800 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 85213198540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174569231994696).

85213198540800 is an abundant number, since it is smaller than the sum of its proper divisors (263925265448592).

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

85213198540800 is a wasteful number, since it uses less digits than its factorization.

85213198540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6529 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 85213198540800 in words is "eighty-five trillion, two hundred thirteen billion, one hundred ninety-eight million, five hundred forty thousand, eight hundred".