21070931898240 has 1024 divisors, whose sum is σ = 88375110912000. Its totient is φ = 4642386739200.

The previous prime is 21070931898217. The next prime is 21070931898287. The reversal of 21070931898240 is 4289813907012.

21070931898240 is a `hidden beast` number, since 2 + 10 + 70 + 9 + 318 + 9 + 8 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2248520755 + ... + 2248530125.

It is an arithmetic number, because the mean of its divisors is an integer number (86303819250).

Almost surely, 2^{21070931898240} is an apocalyptic number.

21070931898240 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 21070931898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44187555456000).

21070931898240 is an abundant number, since it is smaller than the sum of its proper divisors (67304179013760).

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

21070931898240 is a wasteful number, since it uses less digits than its factorization.

21070931898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10076 (or 10058 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 21070931898240 in words is "twenty-one trillion, seventy billion, nine hundred thirty-one million, eight hundred ninety-eight thousand, two hundred forty".