11962548545040 has 640 divisors, whose sum is σ = 43717776883200. Its totient is φ = 2998156861440.

The previous prime is 11962548544997. The next prime is 11962548545099. The reversal of 11962548545040 is 4054584526911.

It is a happy number.

11962548545040 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 2 + 54 + 8 + 545 + 0 + 40 = 666.

11962548545040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6063125494 + ... + 6063127466.

It is an arithmetic number, because the mean of its divisors is an integer number (68309026380).

Almost surely, 2^{11962548545040} is an apocalyptic number.

11962548545040 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 11962548545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21858888441600).

11962548545040 is an abundant number, since it is smaller than the sum of its proper divisors (31755228338160).

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

11962548545040 is a wasteful number, since it uses less digits than its factorization.

11962548545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 11962548545040 in words is "eleven trillion, nine hundred sixty-two billion, five hundred forty-eight million, five hundred forty-five thousand, forty".