73052098560 has 832 divisors, whose sum is σ = 301764303360. Its totient is φ = 16625958912.

The previous prime is 73052098519. The next prime is 73052098571. The reversal of 73052098560 is 6589025037.

It is a happy number.

73052098560 is a `hidden beast` number, since 7 + 30 + 52 + 0 + 9 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313528204 + ... + 313528436.

It is an arithmetic number, because the mean of its divisors is an integer number (362697480).

Almost surely, 2^73052098560 is an apocalyptic number.

73052098560 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 73052098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150882151680).

73052098560 is an abundant number, since it is smaller than the sum of its proper divisors (228712204800).

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

73052098560 is an frugal number, since it uses more digits than its factorization.

73052098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 73052098560 in words is "seventy-three billion, fifty-two million, ninety-eight thousand, five hundred sixty".