75405401260 has 192 divisors, whose sum is σ = 189492307200. Its totient is φ = 25184839680.

The previous prime is 75405401237. The next prime is 75405401333. The reversal of 75405401260 is 6210450457.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57081400 + ... + 57082720.

It is an arithmetic number, because the mean of its divisors is an integer number (986939100).

Almost surely, 2^75405401260 is an apocalyptic number.

75405401260 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 75405401260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94746153600).

75405401260 is an abundant number, since it is smaller than the sum of its proper divisors (114086905940).

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

75405401260 is a wasteful number, since it uses less digits than its factorization.

75405401260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 75405401260 in words is "seventy-five billion, four hundred five million, four hundred one thousand, two hundred sixty".