10754637573420 has 144 divisors (see below), whose sum is σ = 35147496095712. Its totient is φ = 2646113863680.

The previous prime is 10754637573347. The next prime is 10754637573467. The reversal of 10754637573420 is 2437573645701.

10754637573420 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 4 + 63 + 7 + 573 + 4 + 2 + 0 = 666.

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, 4224100 + ... + 6273140.

It is an arithmetic number, because the mean of its divisors is an integer number (244079833998).

Almost surely, 2^{10754637573420} is an apocalyptic number.

10754637573420 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 10754637573420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17573748047856).

10754637573420 is an abundant number, since it is smaller than the sum of its proper divisors (24392858522292).

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

10754637573420 is a wasteful number, since it uses less digits than its factorization.

10754637573420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2051312 (or 2051307 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 10754637573420 in words is "ten trillion, seven hundred fifty-four billion, six hundred thirty-seven million, five hundred seventy-three thousand, four hundred twenty".