75496900805120 has 160 divisors (see below), whose sum is σ = 182230412221440. Its totient is φ = 29996572999680.

The previous prime is 75496900805093. The next prime is 75496900805177. The reversal of 75496900805120 is 2150800969457.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×75496900805120³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325482785 + ... + 325714655.

It is an arithmetic number, because the mean of its divisors is an integer number (1138940076384).

Almost surely, 2^{75496900805120} 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 75496900805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91115206110720).

75496900805120 is an abundant number, since it is smaller than the sum of its proper divisors (106733511416320).

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

75496900805120 is a wasteful number, since it uses less digits than its factorization.

75496900805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232746 (or 232730 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 56.

The spelling of 75496900805120 in words is "seventy-five trillion, four hundred ninety-six billion, nine hundred million, eight hundred five thousand, one hundred twenty".