75851612480 has 112 divisors (see below), whose sum is σ = 207351782400. Its totient is φ = 25889476608.

The previous prime is 75851612453. The next prime is 75851612567. The reversal of 75851612480 is 8421615857.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423596 + ... + 575444.

It is an arithmetic number, because the mean of its divisors is an integer number (1851355200).

Almost surely, 2^75851612480 is an apocalyptic number.

75851612480 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 75851612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103675891200).

75851612480 is an abundant number, since it is smaller than the sum of its proper divisors (131500169920).

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

75851612480 is a wasteful number, since it uses less digits than its factorization.

75851612480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152096 (or 152086 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 47.

The spelling of 75851612480 in words is "seventy-five billion, eight hundred fifty-one million, six hundred twelve thousand, four hundred eighty".