10552979080215 has 256 divisors, whose sum is σ = 22165639372800. Its totient is φ = 4696305868800.

The previous prime is 10552979080201. The next prime is 10552979080277. The reversal of 10552979080215 is 51208097925501.

10552979080215 is a `hidden beast` number, since 1 + 0 + 5 + 529 + 7 + 90 + 8 + 0 + 21 + 5 = 666.

It is not a de Polignac number, because 10552979080215 - 2⁸ = 10552979079959 is a prime.

It is a super-2 number, since 2×10552979080215² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4323218395 + ... + 4323220835.

It is an arithmetic number, because the mean of its divisors is an integer number (86584528800).

Almost surely, 2^{10552979080215} is an apocalyptic number.

10552979080215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10552979080215 is an abundant number, since it is smaller than the sum of its proper divisors (11612660292585).

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

10552979080215 is a wasteful number, since it uses less digits than its factorization.

10552979080215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 54.

The spelling of 10552979080215 in words is "ten trillion, five hundred fifty-two billion, nine hundred seventy-nine million, eighty thousand, two hundred fifteen".