83193078240 has 240 divisors, whose sum is σ = 293973859872. Its totient is φ = 22156747776.

The previous prime is 83193078233. The next prime is 83193078259. The reversal of 83193078240 is 4287039138.

83193078240 is a `hidden beast` number, since 8 + 319 + 307 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×83193078240² (a number of 23 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 11491902 + ... + 11499138.

Almost surely, 2^83193078240 is an apocalyptic number.

83193078240 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 83193078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146986929936).

83193078240 is an abundant number, since it is smaller than the sum of its proper divisors (210780781632).

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

83193078240 is a wasteful number, since it uses less digits than its factorization.

83193078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151 (or 8134 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 83193078240 in words is "eighty-three billion, one hundred ninety-three million, seventy-eight thousand, two hundred forty".