10747294272000 has 5120 divisors, whose sum is σ = 51064891637760. Its totient is φ = 2189721600000.

The previous prime is 10747294271983. The next prime is 10747294272041. The reversal of 10747294272000 is 27249274701.

10747294272000 is a `hidden beast` number, since 10 + 7 + 4 + 7 + 2 + 9 + 427 + 200 + 0 = 666.

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 511 ways as a sum of consecutive naturals, for example, 176185151970 + ... + 176185152030.

It is an arithmetic number, because the mean of its divisors is an integer number (9973611648).

Almost surely, 2^{10747294272000} is an apocalyptic number.

10747294272000 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 10747294272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25532445818880).

10747294272000 is an abundant number, since it is smaller than the sum of its proper divisors (40317597365760).

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

10747294272000 is a wasteful number, since it uses less digits than its factorization.

10747294272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 10747294272000 in words is "ten trillion, seven hundred forty-seven billion, two hundred ninety-four million, two hundred seventy-two thousand".