10263260779200 has 840 divisors, whose sum is σ = 44320553563440. Its totient is φ = 2296669593600.

The previous prime is 10263260779181. The next prime is 10263260779273. The reversal of 10263260779200 is 297706236201.

10263260779200 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 32 + 607 + 7 + 9 + 2 + 0 + 0 = 666.

It is a super-3 number, since 3×10263260779200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18255906 + ... + 18809694.

It is an arithmetic number, because the mean of its divisors is an integer number (52762563766).

Almost surely, 2^{10263260779200} is an apocalyptic number.

10263260779200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10263260779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22160276781720).

10263260779200 is an abundant number, since it is smaller than the sum of its proper divisors (34057292784240).

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

10263260779200 is a wasteful number, since it uses less digits than its factorization.

10263260779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553847 (or 553823 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10263260779200 in words is "ten trillion, two hundred sixty-three billion, two hundred sixty million, seven hundred seventy-nine thousand, two hundred".