21139771101696 has 800 divisors, whose sum is σ = 68808295987200. Its totient is φ = 6422851584000.

The previous prime is 21139771101677. The next prime is 21139771101751. The reversal of 21139771101696 is 69610117793112.

21139771101696 is a `hidden beast` number, since 2 + 11 + 397 + 71 + 10 + 169 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28148829321 + ... + 28148830071.

It is an arithmetic number, because the mean of its divisors is an integer number (86010369984).

Almost surely, 2^{21139771101696} is an apocalyptic number.

21139771101696 is a gapful number since it is divisible by the number (26) 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 21139771101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34404147993600).

21139771101696 is an abundant number, since it is smaller than the sum of its proper divisors (47668524885504).

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

21139771101696 is a wasteful number, since it uses less digits than its factorization.

21139771101696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 54.

The spelling of 21139771101696 in words is "twenty-one trillion, one hundred thirty-nine billion, seven hundred seventy-one million, one hundred one thousand, six hundred ninety-six".