78238958999040 has 1920 divisors, whose sum is σ = 321134974617600. Its totient is φ = 17594781990912.

The previous prime is 78238958999017. The next prime is 78238958999171. The reversal of 78238958999040 is 4099985983287.

78238958999040 is a `hidden beast` number, since 7 + 8 + 23 + 8 + 9 + 589 + 9 + 9 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×78238958999040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 225472504147 + ... + 225472504493.

It is an arithmetic number, because the mean of its divisors is an integer number (167257799280).

Almost surely, 2^{78238958999040} is an apocalyptic number.

78238958999040 is a gapful number since it is divisible by the number (70) 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 78238958999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160567487308800).

78238958999040 is an abundant number, since it is smaller than the sum of its proper divisors (242896015618560).

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

78238958999040 is a wasteful number, since it uses less digits than its factorization.

78238958999040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 81.

The spelling of 78238958999040 in words is "seventy-eight trillion, two hundred thirty-eight billion, nine hundred fifty-eight million, nine hundred ninety-nine thousand, forty".