75133941120 has 640 divisors, whose sum is σ = 316587110400. Its totient is φ = 16617000960.

The previous prime is 75133941097. The next prime is 75133941131. The reversal of 75133941120 is 2114933157.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11245941 + ... + 11252619.

It is an arithmetic number, because the mean of its divisors is an integer number (494667360).

Almost surely, 2^75133941120 is an apocalyptic number.

75133941120 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 75133941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158293555200).

75133941120 is an abundant number, since it is smaller than the sum of its proper divisors (241453169280).

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

75133941120 is a wasteful number, since it uses less digits than its factorization.

75133941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748 (or 6727 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 75133941120 in words is "seventy-five billion, one hundred thirty-three million, nine hundred forty-one thousand, one hundred twenty".