20870419770288 has 240 divisors, whose sum is σ = 64492857776256. Its totient is φ = 6247702056960.

The previous prime is 20870419770251. The next prime is 20870419770307. The reversal of 20870419770288 is 88207791407802.

20870419770288 is a `hidden beast` number, since 2 + 0 + 8 + 70 + 419 + 7 + 70 + 2 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83921295 + ... + 84169617.

Almost surely, 2^{20870419770288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20870419770288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32246428888128).

20870419770288 is an abundant number, since it is smaller than the sum of its proper divisors (43622438005968).

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

20870419770288 is a wasteful number, since it uses less digits than its factorization.

20870419770288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248992 (or 248983 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 20870419770288 in words is "twenty trillion, eight hundred seventy billion, four hundred nineteen million, seven hundred seventy thousand, two hundred eighty-eight".