83806986240 has 672 divisors, whose sum is σ = 315767776896. Its totient is φ = 20478689280.

The previous prime is 83806986227. The next prime is 83806986251. The reversal of 83806986240 is 4268960838.

83806986240 is a `hidden beast` number, since 8 + 3 + 8 + 0 + 6 + 9 + 8 + 624 + 0 = 666.

It is a super-2 number, since 2×83806986240² (a number of 23 digits) contains 22 as substring.

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, 269475685 + ... + 269475995.

Almost surely, 2^83806986240 is an apocalyptic number.

83806986240 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 83806986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157883888448).

83806986240 is an abundant number, since it is smaller than the sum of its proper divisors (231960790656).

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

83806986240 is a wasteful number, since it uses less digits than its factorization.

83806986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 83806986240 in words is "eighty-three billion, eight hundred six million, nine hundred eighty-six thousand, two hundred forty".