7001257052160 has 576 divisors, whose sum is σ = 27854289590400. Its totient is φ = 1593204277248.

The previous prime is 7001257052147. The next prime is 7001257052161. The reversal of 7001257052160 is 612507521007.

7001257052160 is a `hidden beast` number, since 7 + 0 + 0 + 1 + 2 + 5 + 70 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7001257052161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146418336 + ... + 146466144.

It is an arithmetic number, because the mean of its divisors is an integer number (48358141650).

Almost surely, 2^{7001257052160} is an apocalyptic number.

7001257052160 is a gapful number since it is divisible by the number (70) 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 7001257052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927144795200).

7001257052160 is an abundant number, since it is smaller than the sum of its proper divisors (20853032538240).

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

7001257052160 is a wasteful number, since it uses less digits than its factorization.

7001257052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48076 (or 48053 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The spelling of 7001257052160 in words is "seven trillion, one billion, two hundred fifty-seven million, fifty-two thousand, one hundred sixty".