11106357250560 has 1920 divisors, whose sum is σ = 43650549043200. Its totient is φ = 2386345328640.

The previous prime is 11106357250559. The next prime is 11106357250567. The reversal of 11106357250560 is 6505275360111.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (11106357250567) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48499376526 + ... + 48499376754.

It is an arithmetic number, because the mean of its divisors is an integer number (22734660960).

Almost surely, 2^{11106357250560} is an apocalyptic number.

11106357250560 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 11106357250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21825274521600).

11106357250560 is an abundant number, since it is smaller than the sum of its proper divisors (32544191792640).

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

11106357250560 is a wasteful number, since it uses less digits than its factorization.

11106357250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The spelling of 11106357250560 in words is "eleven trillion, one hundred six billion, three hundred fifty-seven million, two hundred fifty thousand, five hundred sixty".