2153367271680 has 288 divisors, whose sum is σ = 7284408050304. Its totient is φ = 540264235008.

The previous prime is 2153367271667. The next prime is 2153367271709. The reversal of 2153367271680 is 861727633512.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 347482342 + ... + 347488538.

It is an arithmetic number, because the mean of its divisors is an integer number (25293083508).

Almost surely, 2^{2153367271680} is an apocalyptic number.

2153367271680 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 2153367271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3642204025152).

2153367271680 is an abundant number, since it is smaller than the sum of its proper divisors (5131040778624).

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

2153367271680 is a wasteful number, since it uses less digits than its factorization.

2153367271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11561 (or 11547 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The spelling of 2153367271680 in words is "two trillion, one hundred fifty-three billion, three hundred sixty-seven million, two hundred seventy-one thousand, six hundred eighty".