21955362765336 has 1728 divisors, whose sum is σ = 84405902929920. Its totient is φ = 5092797265920.

The previous prime is 21955362765283. The next prime is 21955362765373. The reversal of 21955362765336 is 63356726355912.

21955362765336 is a `hidden beast` number, since 2 + 1 + 9 + 5 + 536 + 2 + 7 + 65 + 3 + 36 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 35816252166 + ... + 35816252778.

It is an arithmetic number, because the mean of its divisors is an integer number (48846008640).

Almost surely, 2^{21955362765336} is an apocalyptic number.

21955362765336 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 21955362765336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42202951464960).

21955362765336 is an abundant number, since it is smaller than the sum of its proper divisors (62450540164584).

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

21955362765336 is a wasteful number, since it uses less digits than its factorization.

21955362765336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 819 counting only the distinct ones).

The product of its digits is 183708000, while the sum is 63.

The spelling of 21955362765336 in words is "twenty-one trillion, nine hundred fifty-five billion, three hundred sixty-two million, seven hundred sixty-five thousand, three hundred thirty-six".