2153990651904 has 1275 divisors, whose sum is σ = 8129356733553. Its totient is φ = 568085446656.

The previous prime is 2153990651867. The next prime is 2153990651929. The reversal of 2153990651904 is 4091560993512.

The square root of 2153990651904 is 1467648.

It is a perfect power (a square), and thus also a powerful number.

2153990651904 is a `hidden beast` number, since 2 + 1 + 5 + 39 + 90 + 6 + 519 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 318637670400 + 1835352981504 = 564480^2 + 1354752^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 165691588602 + ... + 165691588614.

Almost surely, 2^{2153990651904} is an apocalyptic number.

2153990651904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2153990651904 is the 1467648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153990651904

2153990651904 is an abundant number, since it is smaller than the sum of its proper divisors (5975366081649).

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

2153990651904 is an frugal number, since it uses more digits than its factorization.

2153990651904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 2153990651904 in words is "two trillion, one hundred fifty-three billion, nine hundred ninety million, six hundred fifty-one thousand, nine hundred four".