11720457505152 has 384 divisors, whose sum is σ = 37215397084320. Its totient is φ = 3510956851200.

The previous prime is 11720457505109. The next prime is 11720457505153. The reversal of 11720457505152 is 25150575402711.

11720457505152 is a `hidden beast` number, since 1 + 1 + 7 + 20 + 4 + 575 + 0 + 5 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11720457505098 and 11720457505107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11720457505153) 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, 1156657078 + ... + 1156667210.

Almost surely, 2^{11720457505152} is an apocalyptic number.

11720457505152 is a gapful number since it is divisible by the number (12) 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 11720457505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18607698542160).

11720457505152 is an abundant number, since it is smaller than the sum of its proper divisors (25494939579168).

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

11720457505152 is a wasteful number, since it uses less digits than its factorization.

11720457505152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11202 (or 11187 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 45.

The spelling of 11720457505152 in words is "eleven trillion, seven hundred twenty billion, four hundred fifty-seven million, five hundred five thousand, one hundred fifty-two".