73261583980000 has 480 divisors, whose sum is σ = 214452032832576. Its totient is φ = 24352272384000.

The previous prime is 73261583979967. The next prime is 73261583980033. The reversal of 73261583980000 is 8938516237.

73261583980000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (73261583979967) and next prime (73261583980033).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 73261583980000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 101299674 + ... + 102020326.

Almost surely, 2^{73261583980000} 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 73261583980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107226016416288).

73261583980000 is an abundant number, since it is smaller than the sum of its proper divisors (141190448852576).

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

73261583980000 is a wasteful number, since it uses less digits than its factorization.

73261583980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720736 (or 720713 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 73261583980000 in words is "seventy-three trillion, two hundred sixty-one billion, five hundred eighty-three million, nine hundred eighty thousand".