11151145846560 has 192 divisors, whose sum is σ = 37238346432000. Its totient is φ = 2795257823232.

The previous prime is 11151145846531. The next prime is 11151145846583. The reversal of 11151145846560 is 6564854115111.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5756841 + ... + 7446039.

It is an arithmetic number, because the mean of its divisors is an integer number (193949721000).

Almost surely, 2^{11151145846560} is an apocalyptic number.

11151145846560 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 11151145846560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18619173216000).

11151145846560 is an abundant number, since it is smaller than the sum of its proper divisors (26087200585440).

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

11151145846560 is a wasteful number, since it uses less digits than its factorization.

11151145846560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690043 (or 1690035 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 48.

The spelling of 11151145846560 in words is "eleven trillion, one hundred fifty-one billion, one hundred forty-five million, eight hundred forty-six thousand, five hundred sixty".