83857356000 has 1728 divisors, whose sum is σ = 365409128448. Its totient is φ = 18817920000.

The previous prime is 83857355891. The next prime is 83857356017. The reversal of 83857356000 is 65375838.

83857356000 is a `hidden beast` number, since 8 + 3 + 8 + 5 + 7 + 35 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2705075985 + ... + 2705076015.

It is an arithmetic number, because the mean of its divisors is an integer number (211463616).

Almost surely, 2^83857356000 is an apocalyptic number.

83857356000 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 83857356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182704564224).

83857356000 is an abundant number, since it is smaller than the sum of its proper divisors (281551772448).

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

83857356000 is a wasteful number, since it uses less digits than its factorization.

83857356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 83857356000 in words is "eighty-three billion, eight hundred fifty-seven million, three hundred fifty-six thousand".