11935998138400 has 576 divisors, whose sum is σ = 35856297050112. Its totient is φ = 3791446179840.

The previous prime is 11935998138277. The next prime is 11935998138431. The reversal of 11935998138400 is 483189953911.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 587189037 + ... + 587209363.

It is an arithmetic number, because the mean of its divisors is an integer number (62250515712).

Almost surely, 2^{11935998138400} is an apocalyptic number.

11935998138400 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 11935998138400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17928148525056).

11935998138400 is an abundant number, since it is smaller than the sum of its proper divisors (23920298911712).

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

11935998138400 is a wasteful number, since it uses less digits than its factorization.

11935998138400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20521 (or 20508 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 61.

The spelling of 11935998138400 in words is "eleven trillion, nine hundred thirty-five billion, nine hundred ninety-eight million, one hundred thirty-eight thousand, four hundred".