85433292000 has 960 divisors, whose sum is σ = 362274232320. Its totient is φ = 19315584000.

The previous prime is 85433291959. The next prime is 85433292053. The reversal of 85433292000 is 29233458.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 315251865 + ... + 315252135.

It is an arithmetic number, because the mean of its divisors is an integer number (377368992).

Almost surely, 2^85433292000 is an apocalyptic number.

85433292000 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 85433292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181137116160).

85433292000 is an abundant number, since it is smaller than the sum of its proper divisors (276840940320).

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

85433292000 is a wasteful number, since it uses less digits than its factorization.

85433292000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 85433292000 in words is "eighty-five billion, four hundred thirty-three million, two hundred ninety-two thousand".