83512275840 has 576 divisors, whose sum is σ = 336717810000. Its totient is φ = 19017105408.

The previous prime is 83512275839. The next prime is 83512275853. The reversal of 83512275840 is 4857221538.

83512275840 is a `hidden beast` number, since 8 + 35 + 12 + 27 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 126725431 + ... + 126726089.

Almost surely, 2^83512275840 is an apocalyptic number.

83512275840 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 83512275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168358905000).

83512275840 is an abundant number, since it is smaller than the sum of its proper divisors (253205534160).

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

83512275840 is a wasteful number, since it uses less digits than its factorization.

83512275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 83512275840 in words is "eighty-three billion, five hundred twelve million, two hundred seventy-five thousand, eight hundred forty".