73553769626112 has 320 divisors, whose sum is σ = 229995440421120. Its totient is φ = 23451918336000.

The previous prime is 73553769626011. The next prime is 73553769626119. The reversal of 73553769626112 is 21162696735537.

It is a happy number.

73553769626112 is a `hidden beast` number, since 7 + 3 + 5 + 5 + 3 + 7 + 6 + 9 + 6 + 2 + 611 + 2 = 666.

It is a super-2 number, since 2×73553769626112² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73553769626112.

It is not an unprimeable number, because it can be changed into a prime (73553769626119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24326112 + ... + 27182112.

It is an arithmetic number, because the mean of its divisors is an integer number (718735751316).

Almost surely, 2^{73553769626112} is an apocalyptic number.

73553769626112 is a gapful number since it is divisible by the number (72) 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 73553769626112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114997720210560).

73553769626112 is an abundant number, since it is smaller than the sum of its proper divisors (156441670795008).

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

73553769626112 is an frugal number, since it uses more digits than its factorization.

73553769626112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856063 (or 2856029 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 63.

The spelling of 73553769626112 in words is "seventy-three trillion, five hundred fifty-three billion, seven hundred sixty-nine million, six hundred twenty-six thousand, one hundred twelve".