70021770534144 has 1728 divisors, whose sum is σ = 256167574978560. Its totient is φ = 18718835097600.

The previous prime is 70021770534139. The next prime is 70021770534203. The reversal of 70021770534144 is 44143507712007.

70021770534144 is a `hidden beast` number, since 7 + 0 + 0 + 2 + 1 + 7 + 70 + 534 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a self number, because there is not a number n which added to its sum of digits gives 70021770534144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27975136797 + ... + 27975139299.

Almost surely, 2^{70021770534144} 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 70021770534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128083787489280).

70021770534144 is an abundant number, since it is smaller than the sum of its proper divisors (186145804444416).

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

70021770534144 is a wasteful number, since it uses less digits than its factorization.

70021770534144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 70021770534144 in words is "seventy trillion, twenty-one billion, seven hundred seventy million, five hundred thirty-four thousand, one hundred forty-four".