11670538752 has 320 divisors, whose sum is σ = 36124830720. Its totient is φ = 3715891200.

The previous prime is 11670538697. The next prime is 11670538771. The reversal of 11670538752 is 25783507611.

It is a happy number.

11670538752 is a `hidden beast` number, since 1 + 1 + 67 + 0 + 538 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11670538698 and 11670538707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48425352 + ... + 48425592.

It is an arithmetic number, because the mean of its divisors is an integer number (112890096).

Almost surely, 2^11670538752 is an apocalyptic number.

11670538752 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 11670538752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18062415360).

11670538752 is an abundant number, since it is smaller than the sum of its proper divisors (24454291968).

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

11670538752 is a wasteful number, since it uses less digits than its factorization.

11670538752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 11670538752 in words is "eleven billion, six hundred seventy million, five hundred thirty-eight thousand, seven hundred fifty-two".