21139670056752 has 480 divisors, whose sum is σ = 70073103784320. Its totient is φ = 5893805998080.

The previous prime is 21139670056693. The next prime is 21139670056753. The reversal of 21139670056752 is 25765007693112.

It is a happy number.

21139670056752 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 9 + 6 + 70 + 0 + 567 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (21139670056753) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66017352 + ... + 66336792.

It is an arithmetic number, because the mean of its divisors is an integer number (145985632884).

Almost surely, 2^{21139670056752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21139670056752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35036551892160).

21139670056752 is an abundant number, since it is smaller than the sum of its proper divisors (48933433727568).

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

21139670056752 is a wasteful number, since it uses less digits than its factorization.

21139670056752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319573 (or 319564 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 21139670056752 in words is "twenty-one trillion, one hundred thirty-nine billion, six hundred seventy million, fifty-six thousand, seven hundred fifty-two".