11953648980000 has 5760 divisors, whose sum is σ = 60309494784000. Its totient is φ = 2273080320000.

The previous prime is 11953648979963. The next prime is 11953648980011. The reversal of 11953648980000 is 8984635911.

11953648980000 is a `hidden beast` number, since 1 + 19 + 536 + 4 + 8 + 98 + 0 + 0 + 0 + 0 = 666.

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 959 ways as a sum of consecutive naturals, for example, 202604219971 + ... + 202604220029.

It is an arithmetic number, because the mean of its divisors is an integer number (10470398400).

Almost surely, 2^{11953648980000} is an apocalyptic number.

11953648980000 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 11953648980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30154747392000).

11953648980000 is an abundant number, since it is smaller than the sum of its proper divisors (48355845804000).

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

11953648980000 is a wasteful number, since it uses less digits than its factorization.

11953648980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 11953648980000 in words is "eleven trillion, nine hundred fifty-three billion, six hundred forty-eight million, nine hundred eighty thousand".