78181583520 has 48 divisors (see below), whose sum is σ = 246271989600. Its totient is φ = 20848422144.

The previous prime is 78181583503. The next prime is 78181583539. The reversal of 78181583520 is 2538518187.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×78181583520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78181583520.

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 7 ways as a sum of consecutive naturals, for example, 81438670 + ... + 81439629.

It is an arithmetic number, because the mean of its divisors is an integer number (5130666450).

Almost surely, 2^78181583520 is an apocalyptic number.

It is an amenable number.

78181583520 is an abundant number, since it is smaller than the sum of its proper divisors (168090406080).

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

78181583520 is a wasteful number, since it uses less digits than its factorization.

78181583520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162878317 (or 162878309 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 48.

The spelling of 78181583520 in words is "seventy-eight billion, one hundred eighty-one million, five hundred eighty-three thousand, five hundred twenty".