10267874760000 has 1120 divisors, whose sum is σ = 40132970938368. Its totient is φ = 2283310080000.

The previous prime is 10267874759977. The next prime is 10267874760001. The reversal of 10267874760000 is 6747876201.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10267874760001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2865718209 + ... + 2865721791.

Almost surely, 2^{10267874760000} is an apocalyptic number.

10267874760000 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 10267874760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20066485469184).

10267874760000 is an abundant number, since it is smaller than the sum of its proper divisors (29865096178368).

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

10267874760000 is a wasteful number, since it uses less digits than its factorization.

10267874760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 10267874760000 in words is "ten trillion, two hundred sixty-seven billion, eight hundred seventy-four million, seven hundred sixty thousand".