1272623755536 has 480 divisors, whose sum is σ = 4383583043840. Its totient is φ = 346249728000.

The previous prime is 1272623755493. The next prime is 1272623755549. The reversal of 1272623755536 is 6355573262721.

1272623755536 is a `hidden beast` number, since 1 + 2 + 7 + 2 + 623 + 7 + 5 + 5 + 5 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 385525086 + ... + 385528386.

Almost surely, 2^{1272623755536} is an apocalyptic number.

1272623755536 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 1272623755536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2191791521920).

1272623755536 is an abundant number, since it is smaller than the sum of its proper divisors (3110959288304).

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

1272623755536 is a wasteful number, since it uses less digits than its factorization.

1272623755536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612 (or 3577 counting only the distinct ones).

The product of its digits is 15876000, while the sum is 54.

The spelling of 1272623755536 in words is "one trillion, two hundred seventy-two billion, six hundred twenty-three million, seven hundred fifty-five thousand, five hundred thirty-six".