85294966400 has 576 divisors, whose sum is σ = 260315570880. Its totient is φ = 27476951040.

The previous prime is 85294966391. The next prime is 85294966451. The reversal of 85294966400 is 466949258.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 241628624 + ... + 241628976.

It is an arithmetic number, because the mean of its divisors is an integer number (451936755).

Almost surely, 2^85294966400 is an apocalyptic number.

85294966400 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 85294966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130157785440).

85294966400 is an abundant number, since it is smaller than the sum of its proper divisors (175020604480).

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

85294966400 is a wasteful number, since it uses less digits than its factorization.

85294966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 85294966400 in words is "eighty-five billion, two hundred ninety-four million, nine hundred sixty-six thousand, four hundred".