73553640855552 has 1536 divisors, whose sum is σ = 270456118732800. Its totient is φ = 19675962408960.

The previous prime is 73553640855433. The next prime is 73553640855641. The reversal of 73553640855552 is 25555804635537.

73553640855552 is a `hidden beast` number, since 7 + 3 + 5 + 5 + 36 + 40 + 8 + 5 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a self number, because there is not a number n which added to its sum of digits gives 73553640855552.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14731349568 + ... + 14731354560.

It is an arithmetic number, because the mean of its divisors is an integer number (176078202300).

Almost surely, 2^{73553640855552} is an apocalyptic number.

73553640855552 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 73553640855552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135228059366400).

73553640855552 is an abundant number, since it is smaller than the sum of its proper divisors (196902477877248).

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

73553640855552 is a wasteful number, since it uses less digits than its factorization.

73553640855552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 378000000, while the sum is 63.

The spelling of 73553640855552 in words is "seventy-three trillion, five hundred fifty-three billion, six hundred forty million, eight hundred fifty-five thousand, five hundred fifty-two".