11952147556440 has 960 divisors, whose sum is σ = 52522945675200. Its totient is φ = 2373415354368.

The previous prime is 11952147556439. The next prime is 11952147556469. The reversal of 11952147556440 is 4465574125911.

11952147556440 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 2 + 1 + 4 + 75 + 564 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 85138626 + ... + 85278894.

It is an arithmetic number, because the mean of its divisors is an integer number (54711401745).

Almost surely, 2^{11952147556440} is an apocalyptic number.

11952147556440 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 11952147556440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26261472837600).

11952147556440 is an abundant number, since it is smaller than the sum of its proper divisors (40570798118760).

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

11952147556440 is a wasteful number, since it uses less digits than its factorization.

11952147556440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140346 (or 140316 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 11952147556440 in words is "eleven trillion, nine hundred fifty-two billion, one hundred forty-seven million, five hundred fifty-six thousand, four hundred forty".