75166087040 has 128 divisors (see below), whose sum is σ = 196275229920. Its totient is φ = 27298897920.

The previous prime is 75166087039. The next prime is 75166087049. The reversal of 75166087040 is 4078066157.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 75166086982 and 75166087000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75166087049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5998862 + ... + 6011378.

Almost surely, 2^75166087040 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 75166087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98137614960).

75166087040 is an abundant number, since it is smaller than the sum of its proper divisors (121109142880).

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

75166087040 is a wasteful number, since it uses less digits than its factorization.

75166087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13400 (or 13388 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 75166087040 in words is "seventy-five billion, one hundred sixty-six million, eighty-seven thousand, forty".