75300029838 has 112 divisors (see below), whose sum is σ = 185688405936. Its totient is φ = 22701409920.

The previous prime is 75300029809. The next prime is 75300029899. The reversal of 75300029838 is 83892000357.

It is a junction number, because it is equal to n+sod(n) for n = 75300029793 and 75300029802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3147570 + ... + 3171402.

Almost surely, 2^75300029838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75300029838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92844202968).

75300029838 is an abundant number, since it is smaller than the sum of its proper divisors (110388376098).

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

75300029838 is a wasteful number, since it uses less digits than its factorization.

75300029838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24061 (or 24046 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 75300029838 in words is "seventy-five billion, three hundred million, twenty-nine thousand, eight hundred thirty-eight".