2121858478080 has 1560 divisors, whose sum is σ = 8644977590832. Its totient is φ = 497796710400.

The previous prime is 2121858478009. The next prime is 2121858478109. The reversal of 2121858478080 is 808748581212.

It is a happy number.

2121858478080 is a `hidden beast` number, since 2 + 12 + 1 + 85 + 8 + 478 + 0 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 68447047665 + ... + 68447047695.

Almost surely, 2^{2121858478080} is an apocalyptic number.

2121858478080 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 2121858478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322488795416).

2121858478080 is an abundant number, since it is smaller than the sum of its proper divisors (6523119112752).

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

2121858478080 is an frugal number, since it uses more digits than its factorization.

2121858478080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 2121858478080 in words is "two trillion, one hundred twenty-one billion, eight hundred fifty-eight million, four hundred seventy-eight thousand, eighty".