10120257608544 has 192 divisors, whose sum is σ = 29570950886400. Its totient is φ = 3367306100736.

The previous prime is 10120257608477. The next prime is 10120257608557. The reversal of 10120257608544 is 44580675202101.

10120257608544 is a `hidden beast` number, since 1 + 0 + 1 + 20 + 2 + 576 + 0 + 8 + 54 + 4 = 666.

It is a super-2 number, since 2×10120257608544² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10120257608544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2566637037 + ... + 2566640979.

It is an arithmetic number, because the mean of its divisors is an integer number (154015369200).

Almost surely, 2^{10120257608544} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120257608544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14785475443200).

10120257608544 is an abundant number, since it is smaller than the sum of its proper divisors (19450693277856).

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

10120257608544 is a wasteful number, since it uses less digits than its factorization.

10120257608544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8594 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 10120257608544 in words is "ten trillion, one hundred twenty billion, two hundred fifty-seven million, six hundred eight thousand, five hundred forty-four".