11754387006072 has 256 divisors, whose sum is σ = 32006612160000. Its totient is φ = 3585357250560.

The previous prime is 11754387006029. The next prime is 11754387006079. The reversal of 11754387006072 is 27060078345711.

It is a super-2 number, since 2×11754387006072² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11754387006079) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1800331704 + ... + 1800338232.

It is an arithmetic number, because the mean of its divisors is an integer number (125025828750).

Almost surely, 2^{11754387006072} is an apocalyptic number.

11754387006072 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 11754387006072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003306080000).

11754387006072 is an abundant number, since it is smaller than the sum of its proper divisors (20252225153928).

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

11754387006072 is a wasteful number, since it uses less digits than its factorization.

11754387006072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7774 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 51.

The spelling of 11754387006072 in words is "eleven trillion, seven hundred fifty-four billion, three hundred eighty-seven million, six thousand, seventy-two".