11378936505600 has 972 divisors, whose sum is σ = 43050312595836. Its totient is φ = 2976548290560.

The previous prime is 11378936505583. The next prime is 11378936505617. The reversal of 11378936505600 is 650563987311.

11378936505600 is a `hidden beast` number, since 1 + 1 + 3 + 78 + 9 + 3 + 6 + 5 + 0 + 560 + 0 = 666.

11378936505600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11378936505583) and next prime (11378936505617).

It can be written as a sum of positive squares in 6 ways, for example, as 1493596848384 + 9885339657216 = 1222128^2 + 3144096^2 .

It is a tau number, because it is divible by the number of its divisors (972).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2225488644 + ... + 2225493756.

Almost surely, 2^{11378936505600} is an apocalyptic number.

11378936505600 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 11378936505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21525156297918).

11378936505600 is an abundant number, since it is smaller than the sum of its proper divisors (31671376090236).

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

11378936505600 is an frugal number, since it uses more digits than its factorization.

11378936505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 11378936505600 in words is "eleven trillion, three hundred seventy-eight billion, nine hundred thirty-six million, five hundred five thousand, six hundred".