11815256739840 has 832 divisors, whose sum is σ = 39357966262272. Its totient is φ = 3024735436800.

The previous prime is 11815256739833. The next prime is 11815256739841. The reversal of 11815256739840 is 4893765251811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11815256739841) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 52983213969 + ... + 52983214191.

It is a 2-persistent number, because it is pandigital, and so is 2⋅11815256739840 = 23630513479680, but 3⋅11815256739840 = 35445770219520 is not.

Almost surely, 2^{11815256739840} is an apocalyptic number.

11815256739840 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 11815256739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19678983131136).

11815256739840 is an abundant number, since it is smaller than the sum of its proper divisors (27542709522432).

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

11815256739840 is a wasteful number, since it uses less digits than its factorization.

11815256739840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 60.

The spelling of 11815256739840 in words is "eleven trillion, eight hundred fifteen billion, two hundred fifty-six million, seven hundred thirty-nine thousand, eight hundred forty".