10002754539960 has 2048 divisors, whose sum is σ = 41275376271360. Its totient is φ = 1880240947200.

The previous prime is 10002754539907. The next prime is 10002754540001. The reversal of 10002754539960 is 6993545720001.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 511 ways as a sum of consecutive naturals, for example, 41505205440 + ... + 41505205680.

It is an arithmetic number, because the mean of its divisors is an integer number (20153992320).

Almost surely, 2^{10002754539960} is an apocalyptic number.

10002754539960 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 10002754539960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20637688135680).

10002754539960 is an abundant number, since it is smaller than the sum of its proper divisors (31272621731400).

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

10002754539960 is a wasteful number, since it uses less digits than its factorization.

10002754539960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The spelling of 10002754539960 in words is "ten trillion, two billion, seven hundred fifty-four million, five hundred thirty-nine thousand, nine hundred sixty".