11256147970392 has 256 divisors, whose sum is σ = 32139617771520. Its totient is φ = 3259948032000.

The previous prime is 11256147970367. The next prime is 11256147970439. The reversal of 11256147970392 is 29307974165211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1771781488 + ... + 1771787840.

It is an arithmetic number, because the mean of its divisors is an integer number (125545381920).

Almost surely, 2^{11256147970392} is an apocalyptic number.

11256147970392 is a gapful number since it is divisible by the number (12) 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 11256147970392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16069808885760).

11256147970392 is an abundant number, since it is smaller than the sum of its proper divisors (20883469801128).

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

11256147970392 is a wasteful number, since it uses less digits than its factorization.

11256147970392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11394 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 11256147970392 in words is "eleven trillion, two hundred fifty-six billion, one hundred forty-seven million, nine hundred seventy thousand, three hundred ninety-two".