1266105357900 has 216 divisors, whose sum is σ = 4230290355200. Its totient is φ = 315809020800.

The previous prime is 1266105357883. The next prime is 1266105357917. The reversal of 1266105357900 is 97535016621.

1266105357900 is a `hidden beast` number, since 1 + 2 + 66 + 10 + 5 + 3 + 579 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1266105357883) and next prime (1266105357917).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 882285 + ... + 1819515.

Almost surely, 2^{1266105357900} is an apocalyptic number.

1266105357900 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 1266105357900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115145177600).

1266105357900 is an abundant number, since it is smaller than the sum of its proper divisors (2964184997300).

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

1266105357900 is a wasteful number, since it uses less digits than its factorization.

1266105357900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937349 (or 937339 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 1266105357900 in words is "one trillion, two hundred sixty-six billion, one hundred five million, three hundred fifty-seven thousand, nine hundred".