73157050368000 has 1728 divisors, whose sum is σ = 301506701932800. Its totient is φ = 17394617548800.

The previous prime is 73157050367993. The next prime is 73157050368001. The reversal of 73157050368000 is 86305075137.

73157050368000 is a `hidden beast` number, since 7 + 3 + 15 + 70 + 503 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73157050368001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3850371071991 + ... + 3850371072009.

It is an arithmetic number, because the mean of its divisors is an integer number (174483045100).

Almost surely, 2^{73157050368000} 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 73157050368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150753350966400).

73157050368000 is an abundant number, since it is smaller than the sum of its proper divisors (228349651564800).

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

73157050368000 is an frugal number, since it uses more digits than its factorization.

73157050368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 73157050368000 in words is "seventy-three trillion, one hundred fifty-seven billion, fifty million, three hundred sixty-eight thousand".