75838323120 has 480 divisors, whose sum is σ = 283700699136. Its totient is φ = 16692480000.

The previous prime is 75838323103. The next prime is 75838323137. The reversal of 75838323120 is 2132383857.

It is an interprime number because it is at equal distance from previous prime (75838323103) and next prime (75838323137).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 100982745 + ... + 100983495.

Almost surely, 2^75838323120 is an apocalyptic number.

75838323120 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 75838323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141850349568).

75838323120 is an abundant number, since it is smaller than the sum of its proper divisors (207862376016).

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

75838323120 is a wasteful number, since it uses less digits than its factorization.

75838323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 75838323120 in words is "seventy-five billion, eight hundred thirty-eight million, three hundred twenty-three thousand, one hundred twenty".