7135776138800 has 60 divisors (see below), whose sum is σ = 18046002307080. Its totient is φ = 2704083586560.

The previous prime is 7135776138773. The next prime is 7135776138863. The reversal of 7135776138800 is 88316775317.

It is a happy number.

It is a super-2 number, since 2×7135776138800² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 469451357 + ... + 469466556.

It is an arithmetic number, because the mean of its divisors is an integer number (300766705118).

Almost surely, 2^{7135776138800} is an apocalyptic number.

It is an amenable number.

7135776138800 is an abundant number, since it is smaller than the sum of its proper divisors (10910226168280).

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

7135776138800 is a wasteful number, since it uses less digits than its factorization.

7135776138800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938917950 (or 938917939 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 56.

The spelling of 7135776138800 in words is "seven trillion, one hundred thirty-five billion, seven hundred seventy-six million, one hundred thirty-eight thousand, eight hundred".