11506997259648 has 384 divisors, whose sum is σ = 38605222131840. Its totient is φ = 3251175014400.

The previous prime is 11506997259601. The next prime is 11506997259677. The reversal of 11506997259648 is 84695279960511.

11506997259648 is a `hidden beast` number, since 1 + 1 + 506 + 9 + 9 + 7 + 2 + 59 + 64 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22800763 + ... + 23299973.

It is an arithmetic number, because the mean of its divisors is an integer number (100534432635).

Almost surely, 2^{11506997259648} is an apocalyptic number.

11506997259648 is a gapful number since it is divisible by the number (18) 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 11506997259648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19302611065920).

11506997259648 is an abundant number, since it is smaller than the sum of its proper divisors (27098224872192).

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

11506997259648 is a wasteful number, since it uses less digits than its factorization.

11506997259648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499366 (or 499351 counting only the distinct ones).

The product of its (nonzero) digits is 293932800, while the sum is 72.

The spelling of 11506997259648 in words is "eleven trillion, five hundred six billion, nine hundred ninety-seven million, two hundred fifty-nine thousand, six hundred forty-eight".