11361245007640 has 384 divisors, whose sum is σ = 30588226099200. Its totient is φ = 3780554342400.

The previous prime is 11361245007617. The next prime is 11361245007787. The reversal of 11361245007640 is 4670054216311.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11361245007593 and 11361245007602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1644885067 + ... + 1644891973.

It is an arithmetic number, because the mean of its divisors is an integer number (79656838800).

Almost surely, 2^{11361245007640} is an apocalyptic number.

11361245007640 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 11361245007640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15294113049600).

11361245007640 is an abundant number, since it is smaller than the sum of its proper divisors (19226981091560).

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

11361245007640 is a wasteful number, since it uses less digits than its factorization.

11361245007640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7567 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 11361245007640 in words is "eleven trillion, three hundred sixty-one billion, two hundred forty-five million, seven thousand, six hundred forty".