2100255561360 has 240 divisors, whose sum is σ = 7749933347520. Its totient is φ = 505489628160.

The previous prime is 2100255561343. The next prime is 2100255561373. The reversal of 2100255561360 is 631655520012.

2100255561360 is a `hidden beast` number, since 2 + 10 + 0 + 2 + 55 + 561 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2100255561360² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146982 + ... + 2054778.

It is an arithmetic number, because the mean of its divisors is an integer number (32291388948).

Almost surely, 2^{2100255561360} is an apocalyptic number.

2100255561360 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 2100255561360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874966673760).

2100255561360 is an abundant number, since it is smaller than the sum of its proper divisors (5649677786160).

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

2100255561360 is a wasteful number, since it uses less digits than its factorization.

2100255561360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907966 (or 1907957 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 2100255561360 in words is "two trillion, one hundred billion, two hundred fifty-five million, five hundred sixty-one thousand, three hundred sixty".