21375135958698 has 256 divisors, whose sum is σ = 49729441259520. Its totient is φ = 6800429260800.

The previous prime is 21375135958697. The next prime is 21375135958723. The reversal of 21375135958698 is 89685953157312.

21375135958698 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 5 + 1 + 35 + 9 + 586 + 9 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (21375135958697) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8865671113 + ... + 8865673523.

It is an arithmetic number, because the mean of its divisors is an integer number (194255629920).

Almost surely, 2^{21375135958698} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21375135958698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24864720629760).

21375135958698 is an abundant number, since it is smaller than the sum of its proper divisors (28354305300822).

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

21375135958698 is a wasteful number, since it uses less digits than its factorization.

21375135958698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2996 counting only the distinct ones).

The product of its digits is 489888000, while the sum is 72.

The spelling of 21375135958698 in words is "twenty-one trillion, three hundred seventy-five billion, one hundred thirty-five million, nine hundred fifty-eight thousand, six hundred ninety-eight".