75413099520 has 880 divisors, whose sum is σ = 300743536896. Its totient is φ = 17915904000.

The previous prime is 75413099431. The next prime is 75413099537. The reversal of 75413099520 is 2599031457.

It is a happy number.

75413099520 is a `hidden beast` number, since 7 + 5 + 4 + 1 + 30 + 99 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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

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, 278276985 + ... + 278277255.

Almost surely, 2^75413099520 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 75413099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150371768448).

75413099520 is an abundant number, since it is smaller than the sum of its proper divisors (225330437376).

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

75413099520 is a wasteful number, since it uses less digits than its factorization.

75413099520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 75413099520 in words is "seventy-five billion, four hundred thirteen million, ninety-nine thousand, five hundred twenty".