11385145452780 has 216 divisors, whose sum is σ = 38079664446096. Its totient is φ = 2751326856960.

The previous prime is 11385145452773. The next prime is 11385145452887. The reversal of 11385145452780 is 8725454158311.

11385145452780 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 5 + 14 + 545 + 2 + 7 + 80 = 666.

It is a super-2 number, since 2×11385145452780² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6079759 + ... + 7728761.

It is an arithmetic number, because the mean of its divisors is an integer number (176294742806).

Almost surely, 2^{11385145452780} is an apocalyptic number.

11385145452780 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 11385145452780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19039832223048).

11385145452780 is an abundant number, since it is smaller than the sum of its proper divisors (26694518993316).

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

11385145452780 is a wasteful number, since it uses less digits than its factorization.

11385145452780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649357 (or 1649341 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 11385145452780 in words is "eleven trillion, three hundred eighty-five billion, one hundred forty-five million, four hundred fifty-two thousand, seven hundred eighty".