78010583040 has 1152 divisors, whose sum is σ = 321965280000. Its totient is φ = 17284202496.

The previous prime is 78010582967. The next prime is 78010583041. The reversal of 78010583040 is 4038501087.

78010583040 is a `hidden beast` number, since 78 + 0 + 1 + 0 + 583 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 78010582986 and 78010583004.

It is not an unprimeable number, because it can be changed into a prime (78010583041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 523560886 + ... + 523561034.

It is an arithmetic number, because the mean of its divisors is an integer number (279483750).

Almost surely, 2^78010583040 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 78010583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160982640000).

78010583040 is an abundant number, since it is smaller than the sum of its proper divisors (243954696960).

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

78010583040 is a wasteful number, since it uses less digits than its factorization.

78010583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 78010583040 in words is "seventy-eight billion, ten million, five hundred eighty-three thousand, forty".