5120970214080 has 448 divisors, whose sum is σ = 19159227445248. Its totient is φ = 1134550609920.

The previous prime is 5120970214049. The next prime is 5120970214093. The reversal of 5120970214080 is 804120790215.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×5120970214080² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37786119 + ... + 37921401.

Almost surely, 2^{5120970214080} 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 5120970214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9579613722624).

5120970214080 is an abundant number, since it is smaller than the sum of its proper divisors (14038257231168).

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

5120970214080 is a wasteful number, since it uses less digits than its factorization.

5120970214080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135484 (or 135474 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 5120970214080 in words is "five trillion, one hundred twenty billion, nine hundred seventy million, two hundred fourteen thousand, eighty".