73103110080 has 896 divisors, whose sum is σ = 314612121600. Its totient is φ = 13888143360.

The previous prime is 73103110057. The next prime is 73103110081. The reversal of 73103110080 is 8001130137.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 73103110080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73103110081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122041621 + ... + 122042219.

It is an arithmetic number, because the mean of its divisors is an integer number (351129600).

Almost surely, 2^73103110080 is an apocalyptic number.

73103110080 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 73103110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157306060800).

73103110080 is an abundant number, since it is smaller than the sum of its proper divisors (241509011520).

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

73103110080 is a wasteful number, since it uses less digits than its factorization.

73103110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 73103110080 in words is "seventy-three billion, one hundred three million, one hundred ten thousand, eighty".