73028981601600 has 168 divisors, whose sum is σ = 239633171126400. Its totient is φ = 19471367086080.

The previous prime is 73028981601559. The next prime is 73028981601623. The reversal of 73028981601600 is 610618982037.

It is a super-2 number, since 2×73028981601600² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29775609 + ... + 32134791.

Almost surely, 2^{73028981601600} 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 73028981601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119816585563200).

73028981601600 is an abundant number, since it is smaller than the sum of its proper divisors (166604189524800).

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

73028981601600 is a wasteful number, since it uses less digits than its factorization.

73028981601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365657 (or 2365642 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 73028981601600 in words is "seventy-three trillion, twenty-eight billion, nine hundred eighty-one million, six hundred one thousand, six hundred".