11254980147840 has 1536 divisors, whose sum is σ = 46832178032640. Its totient is φ = 2454385950720.

The previous prime is 11254980147839. The next prime is 11254980147871. The reversal of 11254980147840 is 4874108945211.

It is a happy number.

11254980147840 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 498 + 0 + 147 + 8 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11884878247 + ... + 11884879193.

It is an arithmetic number, because the mean of its divisors is an integer number (30489699240).

Almost surely, 2^{11254980147840} is an apocalyptic number.

11254980147840 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 11254980147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23416089016320).

11254980147840 is an abundant number, since it is smaller than the sum of its proper divisors (35577197884800).

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

11254980147840 is a wasteful number, since it uses less digits than its factorization.

11254980147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 11254980147840 in words is "eleven trillion, two hundred fifty-four billion, nine hundred eighty million, one hundred forty-seven thousand, eight hundred forty".