138658689561600 has 6336 divisors, whose sum is σ = 625850662993920. Its totient is φ = 30098718720000.

The previous prime is 138658689561571. The next prime is 138658689561611. The reversal of 138658689561600 is 6165986856831.

It is a happy number.

138658689561600 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 5 + 8 + 6 + 8 + 9 + 5 + 6 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1952939289565 + ... + 1952939289635.

Almost surely, 2^{138658689561600} is an apocalyptic number.

138658689561600 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 138658689561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312925331496960).

138658689561600 is an abundant number, since it is smaller than the sum of its proper divisors (487191973432320).

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

138658689561600 is a wasteful number, since it uses less digits than its factorization.

138658689561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 138658689561600 in words is "one hundred thirty-eight trillion, six hundred fifty-eight billion, six hundred eighty-nine million, five hundred sixty-one thousand, six hundred".