2153154533544 has 288 divisors, whose sum is σ = 7300326220200. Its totient is φ = 569506775040.

The previous prime is 2153154533539. The next prime is 2153154533557. The reversal of 2153154533544 is 4453354513512.

2153154533544 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 1 + 54 + 53 + 3 + 544 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1177741516644 + 975413016900 = 1085238^2 + 987630^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2153154533544.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3364272 + ... + 3952800.

Almost surely, 2^{2153154533544} is an apocalyptic number.

2153154533544 is a gapful number since it is divisible by the number (24) 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 2153154533544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3650163110100).

2153154533544 is an abundant number, since it is smaller than the sum of its proper divisors (5147171686656).

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

2153154533544 is a wasteful number, since it uses less digits than its factorization.

2153154533544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588633 (or 588619 counting only the distinct ones).

The product of its digits is 2160000, while the sum is 45.

The spelling of 2153154533544 in words is "two trillion, one hundred fifty-three billion, one hundred fifty-four million, five hundred thirty-three thousand, five hundred forty-four".