10962402989920 has 96 divisors (see below), whose sum is σ = 26132595269760. Its totient is φ = 4345370050560.

The previous prime is 10962402989903. The next prime is 10962402989927. The reversal of 10962402989920 is 2998920426901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10962402989927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105517200 + ... + 105621040.

It is an arithmetic number, because the mean of its divisors is an integer number (272214534060).

Almost surely, 2^{10962402989920} is an apocalyptic number.

10962402989920 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 10962402989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13066297634880).

10962402989920 is an abundant number, since it is smaller than the sum of its proper divisors (15170192279840).

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

10962402989920 is a wasteful number, since it uses less digits than its factorization.

10962402989920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109808 (or 109800 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 61.

The spelling of 10962402989920 in words is "ten trillion, nine hundred sixty-two billion, four hundred two million, nine hundred eighty-nine thousand, nine hundred twenty".