11351138604000 has 384 divisors, whose sum is σ = 40097503135872. Its totient is φ = 2790590054400.

The previous prime is 11351138603971. The next prime is 11351138604107. The reversal of 11351138604000 is 40683115311.

It is a congruent number.

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, 124286352 + ... + 124377648.

It is an arithmetic number, because the mean of its divisors is an integer number (104420581083).

Almost surely, 2^{11351138604000} is an apocalyptic number.

11351138604000 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 11351138604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20048751567936).

11351138604000 is an abundant number, since it is smaller than the sum of its proper divisors (28746364531872).

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

11351138604000 is a wasteful number, since it uses less digits than its factorization.

11351138604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92135 (or 92117 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 11351138604000 in words is "eleven trillion, three hundred fifty-one billion, one hundred thirty-eight million, six hundred four thousand".