827983290240 has 96 divisors (see below), whose sum is σ = 2859129819000. Its totient is φ = 220795542528.

The previous prime is 827983290229. The next prime is 827983290313. The reversal of 827983290240 is 42092389728.

It is a happy number.

827983290240 is a `hidden beast` number, since 8 + 2 + 79 + 8 + 329 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71867790 + ... + 71879309.

Almost surely, 2^827983290240 is an apocalyptic number.

827983290240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

827983290240 is an abundant number, since it is smaller than the sum of its proper divisors (2031146528760).

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

827983290240 is a wasteful number, since it uses less digits than its factorization.

827983290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143747124 (or 143747109 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 827983290240 in words is "eight hundred twenty-seven billion, nine hundred eighty-three million, two hundred ninety thousand, two hundred forty".