10267786488960 has 3840 divisors, whose sum is σ = 52333200057600. Its totient is φ = 1882284687360.

The previous prime is 10267786488941. The next prime is 10267786489007. The reversal of 10267786488960 is 6988468776201.

10267786488960 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 7 + 7 + 86 + 488 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8354585626 + ... + 8354586854.

It is an arithmetic number, because the mean of its divisors is an integer number (13628437515).

Almost surely, 2^{10267786488960} is an apocalyptic number.

10267786488960 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 10267786488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26166600028800).

10267786488960 is an abundant number, since it is smaller than the sum of its proper divisors (42065413568640).

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

10267786488960 is a wasteful number, since it uses less digits than its factorization.

10267786488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 10267786488960 in words is "ten trillion, two hundred sixty-seven billion, seven hundred eighty-six million, four hundred eighty-eight thousand, nine hundred sixty".