10581347456550 has 192 divisors, whose sum is σ = 31487859648000. Its totient is φ = 2597382564480.

The previous prime is 10581347456543. The next prime is 10581347456597. The reversal of 10581347456550 is 5565474318501.

10581347456550 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 1 + 3 + 4 + 74 + 565 + 5 + 0 = 666.

It is a super-2 number, since 2×10581347456550² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5460721 + ... + 7140179.

It is an arithmetic number, because the mean of its divisors is an integer number (163999269000).

Almost surely, 2^{10581347456550} is an apocalyptic number.

10581347456550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10581347456550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15743929824000).

10581347456550 is an abundant number, since it is smaller than the sum of its proper divisors (20906512191450).

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

10581347456550 is a wasteful number, since it uses less digits than its factorization.

10581347456550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679852 (or 1679841 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 54.

The spelling of 10581347456550 in words is "ten trillion, five hundred eighty-one billion, three hundred forty-seven million, four hundred fifty-six thousand, five hundred fifty".