11772215763000 has 512 divisors, whose sum is σ = 45856032768000. Its totient is φ = 2442775104000.

The previous prime is 11772215762999. The next prime is 11772215763017. The reversal of 11772215763000 is 36751227711.

11772215763000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 167901951 + ... + 167972049.

It is an arithmetic number, because the mean of its divisors is an integer number (89562564000).

Almost surely, 2^{11772215763000} is an apocalyptic number.

11772215763000 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 11772215763000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22928016384000).

11772215763000 is an abundant number, since it is smaller than the sum of its proper divisors (34083817005000).

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

11772215763000 is a wasteful number, since it uses less digits than its factorization.

11772215763000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70868 (or 70854 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The spelling of 11772215763000 in words is "eleven trillion, seven hundred seventy-two billion, two hundred fifteen million, seven hundred sixty-three thousand".