75981755136 has 864 divisors, whose sum is σ = 269140838400. Its totient is φ = 18944851968.

The previous prime is 75981755093. The next prime is 75981755159. The reversal of 75981755136 is 63155718957.

It is a happy number.

It is a super-2 number, since 2×75981755136² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1616633065 + ... + 1616633111.

It is an arithmetic number, because the mean of its divisors is an integer number (311505600).

Almost surely, 2^75981755136 is an apocalyptic number.

75981755136 is a gapful number since it is divisible by the number (76) 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 75981755136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134570419200).

75981755136 is an abundant number, since it is smaller than the sum of its proper divisors (193159083264).

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

75981755136 is a wasteful number, since it uses less digits than its factorization.

75981755136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 95 counting only the distinct ones).

The product of its digits is 7938000, while the sum is 57.

The spelling of 75981755136 in words is "seventy-five billion, nine hundred eighty-one million, seven hundred fifty-five thousand, one hundred thirty-six".