10550401731072 has 480 divisors, whose sum is σ = 36686058799104. Its totient is φ = 2855081779200.

The previous prime is 10550401731031. The next prime is 10550401731091. The reversal of 10550401731072 is 27013710405501.

10550401731072 is a `hidden beast` number, since 1 + 0 + 5 + 504 + 0 + 1 + 73 + 10 + 72 = 666.

It is a super-2 number, since 2×10550401731072² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 46884747 + ... + 47109237.

Almost surely, 2^{10550401731072} is an apocalyptic number.

10550401731072 is a gapful number since it is divisible by the number (12) 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 10550401731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18343029399552).

10550401731072 is an abundant number, since it is smaller than the sum of its proper divisors (26135657068032).

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

10550401731072 is a wasteful number, since it uses less digits than its factorization.

10550401731072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224600 (or 224581 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 10550401731072 in words is "ten trillion, five hundred fifty billion, four hundred one million, seven hundred thirty-one thousand, seventy-two".