75505145600 has 108 divisors (see below), whose sum is σ = 186999583344. Its totient is φ = 30183874560.

The previous prime is 75505145587. The next prime is 75505145621. The reversal of 75505145600 is 654150557.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16938572 + ... + 16943028.

Almost surely, 2^75505145600 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 75505145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93499791672).

75505145600 is an abundant number, since it is smaller than the sum of its proper divisors (111494437744).

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

75505145600 is a wasteful number, since it uses less digits than its factorization.

75505145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7130 (or 7111 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 38.

The spelling of 75505145600 in words is "seventy-five billion, five hundred five million, one hundred forty-five thousand, six hundred".