2153567990016 has 567 divisors, whose sum is σ = 6683092410519. Its totient is φ = 692286206976.

The previous prime is 2153567990011. The next prime is 2153567990023. The reversal of 2153567990016 is 6100997653512.

The square root of 2153567990016 is 1467504.

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

2153567990016 is a `hidden beast` number, since 2 + 1 + 535 + 6 + 7 + 9 + 90 + 0 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2153567990011) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 27260354265 + ... + 27260354343.

Almost surely, 2^{2153567990016} is an apocalyptic number.

2153567990016 is the 1467504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153567990016

2153567990016 is an abundant number, since it is smaller than the sum of its proper divisors (4529524420503).

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

2153567990016 is an frugal number, since it uses more digits than its factorization.

2153567990016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 2153567990016 in words is "two trillion, one hundred fifty-three billion, five hundred sixty-seven million, nine hundred ninety thousand, sixteen".