11528962094160 has 1600 divisors, whose sum is σ = 50471055360000. Its totient is φ = 2379491831808.

The previous prime is 11528962094159. The next prime is 11528962094171. The reversal of 11528962094160 is 6149026982511.

11528962094160 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 8 + 9 + 620 + 9 + 4 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×11528962094160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11528962094097 and 11528962094106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1974472521 + ... + 1974478359.

It is an arithmetic number, because the mean of its divisors is an integer number (31544409600).

Almost surely, 2^{11528962094160} is an apocalyptic number.

11528962094160 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 11528962094160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25235527680000).

11528962094160 is an abundant number, since it is smaller than the sum of its proper divisors (38942093265840).

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

11528962094160 is a wasteful number, since it uses less digits than its factorization.

11528962094160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5998 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 11528962094160 in words is "eleven trillion, five hundred twenty-eight billion, nine hundred sixty-two million, ninety-four thousand, one hundred sixty".