11639501388000 has 960 divisors, whose sum is σ = 43300180699776. Its totient is φ = 3062016000000.

The previous prime is 11639501387981. The next prime is 11639501388007. The reversal of 11639501388000 is 88310593611.

It is a happy number.

11639501388000 is a `hidden beast` number, since 1 + 1 + 6 + 39 + 501 + 38 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×11639501388000² (a number of 27 digits) contains 22 as substring.

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 (11639501388007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13122323557 + ... + 13122324443.

Almost surely, 2^{11639501388000} is an apocalyptic number.

11639501388000 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 11639501388000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21650090349888).

11639501388000 is an abundant number, since it is smaller than the sum of its proper divisors (31660679311776).

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

11639501388000 is a wasteful number, since it uses less digits than its factorization.

11639501388000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11639501388000 in words is "eleven trillion, six hundred thirty-nine billion, five hundred one million, three hundred eighty-eight thousand".