1266907836096 has 448 divisors, whose sum is σ = 4302498278400. Its totient is φ = 358085173248.

The previous prime is 1266907836053. The next prime is 1266907836097. The reversal of 1266907836096 is 6906387096621.

1266907836096 is a `hidden beast` number, since 1 + 266 + 9 + 0 + 7 + 8 + 360 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1266907836096² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1266907836097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532984860 + ... + 532987236.

It is an arithmetic number, because the mean of its divisors is an integer number (9603790800).

Almost surely, 2^{1266907836096} is an apocalyptic number.

1266907836096 is a gapful number since it is divisible by the number (16) 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 1266907836096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151249139200).

1266907836096 is an abundant number, since it is smaller than the sum of its proper divisors (3035590442304).

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

1266907836096 is a wasteful number, since it uses less digits than its factorization.

1266907836096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 1266907836096 in words is "one trillion, two hundred sixty-six billion, nine hundred seven million, eight hundred thirty-six thousand, ninety-six".