10008552744960 has 1536 divisors, whose sum is σ = 42225994137600. Its totient is φ = 1962934272000.

The previous prime is 10008552744923. The next prime is 10008552744997. The reversal of 10008552744960 is 6944725580001.

It is an interprime number because it is at equal distance from previous prime (10008552744923) and next prime (10008552744997).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×10008552744960² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3006472576 + ... + 3006475904.

It is an arithmetic number, because the mean of its divisors is an integer number (27490881600).

Almost surely, 2^{10008552744960} is an apocalyptic number.

10008552744960 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 10008552744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21112997068800).

10008552744960 is an abundant number, since it is smaller than the sum of its proper divisors (32217441392640).

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

10008552744960 is a wasteful number, since it uses less digits than its factorization.

10008552744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3449 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 10008552744960 in words is "ten trillion, eight billion, five hundred fifty-two million, seven hundred forty-four thousand, nine hundred sixty".