75114086400 has 540 divisors, whose sum is σ = 279256743612. Its totient is φ = 19959644160.

The previous prime is 75114086381. The next prime is 75114086413. The reversal of 75114086400 is 468041157.

It is a happy number.

75114086400 is a `hidden beast` number, since 7 + 5 + 1 + 1 + 4 + 0 + 8 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 265420659 + ... + 265420941.

Almost surely, 2^75114086400 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 75114086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139628371806).

75114086400 is an abundant number, since it is smaller than the sum of its proper divisors (204142657212).

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

75114086400 is an frugal number, since it uses more digits than its factorization.

75114086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 75114086400 in words is "seventy-five billion, one hundred fourteen million, eighty-six thousand, four hundred".