9960525486240 has 768 divisors, whose sum is σ = 37114730053632. Its totient is φ = 2197935489024.

The previous prime is 9960525486217. The next prime is 9960525486251. The reversal of 9960525486240 is 426845250699.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 127 ways as a sum of consecutive naturals, for example, 11541744049 + ... + 11541744911.

It is an arithmetic number, because the mean of its divisors is an integer number (48326471424).

Almost surely, 2^{9960525486240} 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 9960525486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18557365026816).

9960525486240 is an abundant number, since it is smaller than the sum of its proper divisors (27154204567392).

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

9960525486240 is a wasteful number, since it uses less digits than its factorization.

9960525486240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 60.

The spelling of 9960525486240 in words is "nine trillion, nine hundred sixty billion, five hundred twenty-five million, four hundred eighty-six thousand, two hundred forty".