11271874752000 has 1920 divisors, whose sum is σ = 44342677387008. Its totient is φ = 2741501952000.

The previous prime is 11271874751993. The next prime is 11271874752007. The reversal of 11271874752000 is 25747817211.

It is a happy number.

11271874752000 is a `hidden beast` number, since 1 + 1 + 2 + 7 + 1 + 87 + 47 + 520 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11271874751993) and next prime (11271874752007).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11271874752007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67496255917 + ... + 67496256083.

Almost surely, 2^{11271874752000} is an apocalyptic number.

11271874752000 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 11271874752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22171338693504).

11271874752000 is an abundant number, since it is smaller than the sum of its proper divisors (33070802635008).

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

11271874752000 is a wasteful number, since it uses less digits than its factorization.

11271874752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 11271874752000 in words is "eleven trillion, two hundred seventy-one billion, eight hundred seventy-four million, seven hundred fifty-two thousand".