10958986510096 has 45 divisors (see below), whose sum is σ = 22196966796039. Its totient is φ = 5241108758688.

The previous prime is 10958986510019. The next prime is 10958986510159. The reversal of 10958986510096 is 69001568985901.

The square root of 10958986510096 is 3310436.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×10958986510096² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 304542121 + ... + 304578103.

Almost surely, 2^{10958986510096} is an apocalyptic number.

10958986510096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10958986510096 is the 3310436-th square number.

It is an amenable number.

10958986510096 is an abundant number, since it is smaller than the sum of its proper divisors (11237980285943).

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

10958986510096 is an frugal number, since it uses more digits than its factorization.

10958986510096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72020 (or 36008 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 67.

It can be divided in two parts, 109589865 and 10096, that added together give a square (109599961 = 10469²).

The spelling of 10958986510096 in words is "ten trillion, nine hundred fifty-eight billion, nine hundred eighty-six million, five hundred ten thousand, ninety-six".