11675197440000 has 2380 divisors, whose sum is σ = 48334981367376. Its totient is φ = 2802843648000.

The previous prime is 11675197439999. The next prime is 11675197440001. The reversal of 11675197440000 is 4479157611.

11675197440000 is a `hidden beast` number, since 1 + 1 + 67 + 519 + 74 + 4 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11675197439999) and next prime (11675197440001).

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 (11675197440001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 507617279989 + ... + 507617280011.

Almost surely, 2^{11675197440000} is an apocalyptic number.

11675197440000 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 11675197440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24167490683688).

11675197440000 is an abundant number, since it is smaller than the sum of its proper divisors (36659783927376).

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

11675197440000 is an frugal number, since it uses more digits than its factorization.

11675197440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11675197440000 in words is "eleven trillion, six hundred seventy-five billion, one hundred ninety-seven million, four hundred forty thousand".