75527665920 has 1008 divisors, whose sum is σ = 320851356672. Its totient is φ = 16661790720.

The previous prime is 75527665919. The next prime is 75527665979. The reversal of 75527665920 is 2956672557.

75527665920 is a `hidden beast` number, since 7 + 5 + 527 + 66 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 202486854 + ... + 202487226.

Almost surely, 2^75527665920 is an apocalyptic number.

75527665920 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 75527665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160425678336).

75527665920 is an abundant number, since it is smaller than the sum of its proper divisors (245323690752).

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

75527665920 is an equidigital number, since it uses as much as digits as its factorization.

75527665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 7938000, while the sum is 54.

The spelling of 75527665920 in words is "seventy-five billion, five hundred twenty-seven million, six hundred sixty-five thousand, nine hundred twenty".