11157554590000 has 400 divisors, whose sum is σ = 33468046796800. Its totient is φ = 3507753600000.

The previous prime is 11157554589869. The next prime is 11157554590001. The reversal of 11157554590000 is 9545575111.

It is a tau number, because it is divible by the number of its divisors (400).

It is not an unprimeable number, because it can be changed into a prime (11157554590001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 137369401 + ... + 137450599.

It is an arithmetic number, because the mean of its divisors is an integer number (83670116992).

Almost surely, 2^{11157554590000} is an apocalyptic number.

11157554590000 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 11157554590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16734023398400).

11157554590000 is an abundant number, since it is smaller than the sum of its proper divisors (22310492206800).

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

11157554590000 is a wasteful number, since it uses less digits than its factorization.

11157554590000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81398 (or 81377 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 43.

The spelling of 11157554590000 in words is "eleven trillion, one hundred fifty-seven billion, five hundred fifty-four million, five hundred ninety thousand".