78109583040 has 280 divisors, whose sum is σ = 279471638160. Its totient is φ = 20707633152.

The previous prime is 78109583003. The next prime is 78109583059. The reversal of 78109583040 is 4038590187.

It is a super-2 number, since 2×78109583040² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4475451 + ... + 4492869.

Almost surely, 2^78109583040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78109583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139735819080).

78109583040 is an abundant number, since it is smaller than the sum of its proper divisors (201362055120).

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

78109583040 is a wasteful number, since it uses less digits than its factorization.

78109583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17621 (or 17602 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 78109583040 in words is "seventy-eight billion, one hundred nine million, five hundred eighty-three thousand, forty".