11551021867840 has 2688 divisors, whose sum is σ = 40349004595200. Its totient is φ = 3102397562880.

The previous prime is 11551021867829. The next prime is 11551021867873. The reversal of 11551021867840 is 4876812015511.

It is a super-2 number, since 2×11551021867840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 129786762516 + ... + 129786762604.

It is an arithmetic number, because the mean of its divisors is an integer number (15010790400).

Almost surely, 2^{11551021867840} is an apocalyptic number.

11551021867840 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 11551021867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20174502297600).

11551021867840 is an abundant number, since it is smaller than the sum of its proper divisors (28797982727360).

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

11551021867840 is a wasteful number, since it uses less digits than its factorization.

11551021867840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 49.

The spelling of 11551021867840 in words is "eleven trillion, five hundred fifty-one billion, twenty-one million, eight hundred sixty-seven thousand, eight hundred forty".