75577855540 has 192 divisors, whose sum is σ = 181469030400. Its totient is φ = 26191872000.

The previous prime is 75577855531. The next prime is 75577855547. The reversal of 75577855540 is 4555877557.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75577855547) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216555286 + ... + 216555634.

It is an arithmetic number, because the mean of its divisors is an integer number (945151200).

Almost surely, 2^75577855540 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 75577855540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90734515200).

75577855540 is an abundant number, since it is smaller than the sum of its proper divisors (105891174860).

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

75577855540 is a wasteful number, since it uses less digits than its factorization.

75577855540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 34300000, while the sum is 58.

The spelling of 75577855540 in words is "seventy-five billion, five hundred seventy-seven million, eight hundred fifty-five thousand, five hundred forty".