2153061870960 has 1920 divisors, whose sum is σ = 9604645263360. Its totient is φ = 387142778880.

The previous prime is 2153061870919. The next prime is 2153061870977. The reversal of 2153061870960 is 690781603512.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6878791764 + ... + 6878792076.

It is an arithmetic number, because the mean of its divisors is an integer number (5002419408).

Almost surely, 2^{2153061870960} is an apocalyptic number.

2153061870960 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 2153061870960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802322631680).

2153061870960 is an abundant number, since it is smaller than the sum of its proper divisors (7451583392400).

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

2153061870960 is a wasteful number, since it uses less digits than its factorization.

2153061870960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 2153061870960 in words is "two trillion, one hundred fifty-three billion, sixty-one million, eight hundred seventy thousand, nine hundred sixty".