2157079536480 has 384 divisors, whose sum is σ = 7864126341120. Its totient is φ = 491502090240.

The previous prime is 2157079536463. The next prime is 2157079536487. The reversal of 2157079536480 is 846359707512.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 2157079536480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2157079536487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12655987 + ... + 12825293.

It is an arithmetic number, because the mean of its divisors is an integer number (20479495680).

It is a 1-persistent number, because it is pandigital, but 2⋅2157079536480 = 4314159072960 is not.

Almost surely, 2^{2157079536480} is an apocalyptic number.

2157079536480 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 2157079536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932063170560).

2157079536480 is an abundant number, since it is smaller than the sum of its proper divisors (5707046804640).

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

2157079536480 is a wasteful number, since it uses less digits than its factorization.

2157079536480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169482 (or 169474 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 2157079536480 in words is "two trillion, one hundred fifty-seven billion, seventy-nine million, five hundred thirty-six thousand, four hundred eighty".