21019315117080 has 256 divisors, whose sum is σ = 75204170219520. Its totient is φ = 4595244166656.

The previous prime is 21019315117049. The next prime is 21019315117121. The reversal of 21019315117080 is 8071151391012.

It is a super-2 number, since 2×21019315117080² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532883839 + ... + 532923281.

It is an arithmetic number, because the mean of its divisors is an integer number (293766289920).

Almost surely, 2^{21019315117080} is an apocalyptic number.

21019315117080 is a gapful number since it is divisible by the number (20) 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 21019315117080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37602085109760).

21019315117080 is an abundant number, since it is smaller than the sum of its proper divisors (54184855102440).

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

21019315117080 is a wasteful number, since it uses less digits than its factorization.

21019315117080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67070 (or 67066 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 39.

The spelling of 21019315117080 in words is "twenty-one trillion, nineteen billion, three hundred fifteen million, one hundred seventeen thousand, eighty".