11954601871290 has 128 divisors (see below), whose sum is σ = 34344349401600. Its totient is φ = 2941541084160.

The previous prime is 11954601871259. The next prime is 11954601871307. The reversal of 11954601871290 is 9217810645911.

11954601871290 is a `hidden beast` number, since 1 + 1 + 9 + 5 + 4 + 601 + 8 + 7 + 1 + 29 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 8504875 + ... + 9810305.

It is an arithmetic number, because the mean of its divisors is an integer number (268315229700).

Almost surely, 2^{11954601871290} is an apocalyptic number.

11954601871290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11954601871290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17172174700800).

11954601871290 is an abundant number, since it is smaller than the sum of its proper divisors (22389747530310).

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

11954601871290 is a wasteful number, since it uses less digits than its factorization.

11954601871290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308069 (or 1308063 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 11954601871290 in words is "eleven trillion, nine hundred fifty-four billion, six hundred one million, eight hundred seventy-one thousand, two hundred ninety".