1267266546000 has 3200 divisors, whose sum is σ = 6039933419520. Its totient is φ = 248956416000.

The previous prime is 1267266545939. The next prime is 1267266546041. The reversal of 1267266546000 is 6456627621.

1267266546000 is a `hidden beast` number, since 12 + 6 + 7 + 26 + 6 + 5 + 4 + 600 + 0 = 666.

It is a super-2 number, since 2×1267266546000² (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 639 ways as a sum of consecutive naturals, for example, 21479093971 + ... + 21479094029.

Almost surely, 2^{1267266546000} is an apocalyptic number.

1267266546000 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 1267266546000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019966709760).

1267266546000 is an abundant number, since it is smaller than the sum of its proper divisors (4772666873520).

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

1267266546000 is a wasteful number, since it uses less digits than its factorization.

1267266546000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1267266546000 in words is "one trillion, two hundred sixty-seven billion, two hundred sixty-six million, five hundred forty-six thousand".