2135321948160 has 728 divisors, whose sum is σ = 7773863168160. Its totient is φ = 562670862336.

The previous prime is 2135321948159. The next prime is 2135321948161. The reversal of 2135321948160 is 618491235312.

2135321948160 is a `hidden beast` number, since 2 + 1 + 3 + 532 + 19 + 48 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2135321948159) and next prime (2135321948161).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2135321948161) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1328762077 + ... + 1328763683.

Almost surely, 2^{2135321948160} is an apocalyptic number.

2135321948160 is a gapful number since it is divisible by the number (20) 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 2135321948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886931584080).

2135321948160 is an abundant number, since it is smaller than the sum of its proper divisors (5638541220000).

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

2135321948160 is an frugal number, since it uses more digits than its factorization.

2135321948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2135321948160 in words is "two trillion, one hundred thirty-five billion, three hundred twenty-one million, nine hundred forty-eight thousand, one hundred sixty".