75552829056 has 192 divisors, whose sum is σ = 226421395200. Its totient is φ = 25077288960.

The previous prime is 75552829049. The next prime is 75552829057. The reversal of 75552829056 is 65092825557.

It is a happy number.

75552829056 is a `hidden beast` number, since 7 + 5 + 552 + 82 + 9 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×75552829056² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 75552828993 and 75552829011.

It is not an unprimeable number, because it can be changed into a prime (75552829057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7491025 + ... + 7501103.

It is an arithmetic number, because the mean of its divisors is an integer number (1179278100).

Almost surely, 2^75552829056 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 75552829056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113210697600).

75552829056 is an abundant number, since it is smaller than the sum of its proper divisors (150868566144).

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

75552829056 is a wasteful number, since it uses less digits than its factorization.

75552829056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10349 (or 10325 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 75552829056 in words is "seventy-five billion, five hundred fifty-two million, eight hundred twenty-nine thousand, fifty-six".