85694498400 has 288 divisors, whose sum is σ = 325569162240. Its totient is φ = 19170385920.

The previous prime is 85694498371. The next prime is 85694498419. The reversal of 85694498400 is 489449658.

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, 735336 + ... + 843864.

It is an arithmetic number, because the mean of its divisors is an integer number (1130448480).

Almost surely, 2^85694498400 is an apocalyptic number.

85694498400 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 85694498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162784581120).

85694498400 is an abundant number, since it is smaller than the sum of its proper divisors (239874663840).

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

85694498400 is a wasteful number, since it uses less digits than its factorization.

85694498400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108606 (or 108593 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 85694498400 in words is "eighty-five billion, six hundred ninety-four million, four hundred ninety-eight thousand, four hundred".