10268025549376 has 63 divisors (see below), whose sum is σ = 23702658156057. Its totient is φ = 4400505473280.

The previous prime is 10268025549329. The next prime is 10268025549547. The reversal of 10268025549376 is 67394552086201.

The square root of 10268025549376 is 3204376.

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

It can be written as a sum of positive squares in only one way, i.e., 10196372966976 + 71652582400 = 3193176^2 + 267680^2 .

It is a super-2 number, since 2×10268025549376² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10268025549376.

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 8 ways as a sum of consecutive naturals, for example, 179416446 + ... + 179473666.

It is a 1-persistent number, because it is pandigital, but 2⋅10268025549376 = 20536051098752 is not.

Almost surely, 2^{10268025549376} is an apocalyptic number.

10268025549376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10268025549376 is the 3204376-th square number.

It is an amenable number.

10268025549376 is an abundant number, since it is smaller than the sum of its proper divisors (13434632606681).

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

10268025549376 is an frugal number, since it uses more digits than its factorization.

10268025549376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114468 (or 57230 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 10268025549376 in words is "ten trillion, two hundred sixty-eight billion, twenty-five million, five hundred forty-nine thousand, three hundred seventy-six".