1268165151900 has 360 divisors, whose sum is σ = 4293705122784. Its totient is φ = 323166412800.

The previous prime is 1268165151863. The next prime is 1268165151943. The reversal of 1268165151900 is 91515618621.

1268165151900 is a `hidden beast` number, since 1 + 2 + 6 + 81 + 6 + 51 + 519 + 0 + 0 = 666.

It is a super-2 number, since 2×1268165151900² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 246099724 + ... + 246104876.

Almost surely, 2^{1268165151900} is an apocalyptic number.

1268165151900 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 1268165151900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146852561392).

1268165151900 is an abundant number, since it is smaller than the sum of its proper divisors (3025539970884).

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

1268165151900 is a wasteful number, since it uses less digits than its factorization.

1268165151900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523 (or 6507 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 1268165151900 in words is "one trillion, two hundred sixty-eight billion, one hundred sixty-five million, one hundred fifty-one thousand, nine hundred".