2106501526080 has 672 divisors, whose sum is σ = 8610745328640. Its totient is φ = 480168622080.

The previous prime is 2106501526067. The next prime is 2106501526127. The reversal of 2106501526080 is 806251056012.

2106501526080 is a `hidden beast` number, since 2 + 1 + 0 + 6 + 50 + 1 + 526 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 206292175 + ... + 206302385.

It is an arithmetic number, because the mean of its divisors is an integer number (12813609120).

Almost surely, 2^{2106501526080} is an apocalyptic number.

2106501526080 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 2106501526080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305372664320).

2106501526080 is an abundant number, since it is smaller than the sum of its proper divisors (6504243802560).

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

2106501526080 is a wasteful number, since it uses less digits than its factorization.

2106501526080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10629 (or 10607 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 2106501526080 in words is "two trillion, one hundred six billion, five hundred one million, five hundred twenty-six thousand, eighty".