11485000577952 has 576 divisors, whose sum is σ = 38265226796160. Its totient is φ = 3356610969600.

The previous prime is 11485000577933. The next prime is 11485000577969. The reversal of 11485000577952 is 25977500058411.

11485000577952 is a `hidden beast` number, since 1 + 1 + 48 + 500 + 0 + 5 + 7 + 7 + 95 + 2 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2959287052 + ... + 2959290932.

It is an arithmetic number, because the mean of its divisors is an integer number (66432685410).

Almost surely, 2^{11485000577952} is an apocalyptic number.

11485000577952 is a gapful number since it is divisible by the number (12) 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 11485000577952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19132613398080).

11485000577952 is an abundant number, since it is smaller than the sum of its proper divisors (26780226218208).

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

11485000577952 is a wasteful number, since it uses less digits than its factorization.

11485000577952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 54.

The spelling of 11485000577952 in words is "eleven trillion, four hundred eighty-five billion, five hundred seventy-seven thousand, nine hundred fifty-two".