2153120670064 has 160 divisors (see below), whose sum is σ = 5174497560960. Its totient is φ = 845149372416.

The previous prime is 2153120670053. The next prime is 2153120670109. The reversal of 2153120670064 is 4600760213512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109302264 + ... + 109321960.

It is an arithmetic number, because the mean of its divisors is an integer number (32340609756).

Almost surely, 2^{2153120670064} 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 2153120670064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587248780480).

2153120670064 is an abundant number, since it is smaller than the sum of its proper divisors (3021376890896).

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

2153120670064 is a wasteful number, since it uses less digits than its factorization.

2153120670064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20307 (or 20301 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

Adding to 2153120670064 its reverse (4600760213512), we get a palindrome (6753880883576).

The spelling of 2153120670064 in words is "two trillion, one hundred fifty-three billion, one hundred twenty million, six hundred seventy thousand, sixty-four".