11764068625200 has 240 divisors, whose sum is σ = 38989488575520. Its totient is φ = 3028459069440.

The previous prime is 11764068625193. The next prime is 11764068625201. The reversal of 11764068625200 is 252686046711.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11764068625200.

It is not an unprimeable number, because it can be changed into a prime (11764068625201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278135254 + ... + 278177546.

It is an arithmetic number, because the mean of its divisors is an integer number (162456202398).

Almost surely, 2^{11764068625200} is an apocalyptic number.

11764068625200 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 11764068625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19494744287760).

11764068625200 is an abundant number, since it is smaller than the sum of its proper divisors (27225419950320).

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

11764068625200 is a wasteful number, since it uses less digits than its factorization.

11764068625200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50336 (or 50325 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 11764068625200 in words is "eleven trillion, seven hundred sixty-four billion, sixty-eight million, six hundred twenty-five thousand, two hundred".