85437736550400 has 1008 divisors, whose sum is σ = 306528515634656. Its totient is φ = 20873541058560.

The previous prime is 85437736550393. The next prime is 85437736550423. The reversal of 85437736550400 is 405563773458.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197315788584 + ... + 197315789016.

Almost surely, 2^{85437736550400} is an apocalyptic number.

85437736550400 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 85437736550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153264257817328).

85437736550400 is an abundant number, since it is smaller than the sum of its proper divisors (221090779084256).

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

85437736550400 is an equidigital number, since it uses as much as digits as its factorization.

85437736550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 57.

The spelling of 85437736550400 in words is "eighty-five trillion, four hundred thirty-seven billion, seven hundred thirty-six million, five hundred fifty thousand, four hundred".