10754008629516 has 120 divisors (see below), whose sum is σ = 28425588871680. Its totient is φ = 3544921788768.

The previous prime is 10754008629451. The next prime is 10754008629557. The reversal of 10754008629516 is 61592680045701.

It is a happy number.

10754008629516 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 4 + 0 + 0 + 8 + 629 + 5 + 1 + 6 = 666.

10754008629516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23770375 + ... + 24218561.

It is an arithmetic number, because the mean of its divisors is an integer number (236879907264).

Almost surely, 2^{10754008629516} 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 10754008629516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212794435840).

10754008629516 is an abundant number, since it is smaller than the sum of its proper divisors (17671580242164).

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

10754008629516 is a wasteful number, since it uses less digits than its factorization.

10754008629516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449025 (or 449014 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 10754008629516 in words is "ten trillion, seven hundred fifty-four billion, eight million, six hundred twenty-nine thousand, five hundred sixteen".