10488126960 has 240 divisors, whose sum is σ = 36891638784. Its totient is φ = 2665225728.

The previous prime is 10488126953. The next prime is 10488126973. The reversal of 10488126960 is 6962188401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10488126960² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5082889 + ... + 5084951.

Almost surely, 2^10488126960 is an apocalyptic number.

10488126960 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 10488126960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18445819392).

10488126960 is an abundant number, since it is smaller than the sum of its proper divisors (26403511824).

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

10488126960 is a wasteful number, since it uses less digits than its factorization.

10488126960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2412 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

It can be divided in two parts, 104881 and 26960, that added together give a triangular number (131841 = T₅₁₃).

The spelling of 10488126960 in words is "ten billion, four hundred eighty-eight million, one hundred twenty-six thousand, nine hundred sixty".