75545555400 has 864 divisors, whose sum is σ = 318094283520. Its totient is φ = 15684710400.

The previous prime is 75545555389. The next prime is 75545555419. The reversal of 75545555400 is 455554557.

75545555400 is a `hidden beast` number, since 7 + 5 + 54 + 5 + 55 + 540 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 205846017 + ... + 205846383.

It is an arithmetic number, because the mean of its divisors is an integer number (368164680).

Almost surely, 2^75545555400 is an apocalyptic number.

75545555400 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 75545555400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159047141760).

75545555400 is an abundant number, since it is smaller than the sum of its proper divisors (242548728120).

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

75545555400 is a wasteful number, since it uses less digits than its factorization.

75545555400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 1750000, while the sum is 45.

The spelling of 75545555400 in words is "seventy-five billion, five hundred forty-five million, five hundred fifty-five thousand, four hundred".