75149891520 has 224 divisors, whose sum is σ = 261003409920. Its totient is φ = 18168360960.

The previous prime is 75149891497. The next prime is 75149891521. The reversal of 75149891520 is 2519894157.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75149891521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3929341 + ... + 3948419.

Almost surely, 2^75149891520 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 75149891520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130501704960).

75149891520 is an abundant number, since it is smaller than the sum of its proper divisors (185853518400).

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

75149891520 is a wasteful number, since it uses less digits than its factorization.

75149891520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19483 (or 19473 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 51.

It can be divided in two parts, 75149 and 891520, that added together give a palindrome (966669).

The spelling of 75149891520 in words is "seventy-five billion, one hundred forty-nine million, eight hundred ninety-one thousand, five hundred twenty".