10537479586080 has 72 divisors (see below), whose sum is σ = 35959149092412. Its totient is φ = 2809994555904.

The previous prime is 10537479586063. The next prime is 10537479586091. The reversal of 10537479586080 is 8068597473501.

10537479586080 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 7 + 47 + 9 + 586 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10156637554704 + 380842031376 = 3186948^2 + 617124^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10537479586080² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10537479585999 and 10537479586017.

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, 3658845639 + ... + 3658848518.

Almost surely, 2^{10537479586080} is an apocalyptic number.

10537479586080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10537479586080 is an abundant number, since it is smaller than the sum of its proper divisors (25421669506332).

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

10537479586080 is a wasteful number, since it uses less digits than its factorization.

10537479586080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7317694178 (or 7317694167 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 10537479586080 in words is "ten trillion, five hundred thirty-seven billion, four hundred seventy-nine million, five hundred eighty-six thousand, eighty".