11780101572304 has 320 divisors, whose sum is σ = 27098765568000. Its totient is φ = 4927760547840.

The previous prime is 11780101572293. The next prime is 11780101572307. The reversal of 11780101572304 is 40327510108711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11780101572307) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3309945277 + ... + 3309948835.

It is an arithmetic number, because the mean of its divisors is an integer number (84683642400).

Almost surely, 2^{11780101572304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11780101572304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13549382784000).

11780101572304 is an abundant number, since it is smaller than the sum of its proper divisors (15318663995696).

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

11780101572304 is a wasteful number, since it uses less digits than its factorization.

11780101572304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 40.

The spelling of 11780101572304 in words is "eleven trillion, seven hundred eighty billion, one hundred one million, five hundred seventy-two thousand, three hundred four".