2134801785600 has 1080 divisors, whose sum is σ = 8689735665072. Its totient is φ = 512792985600.

The previous prime is 2134801785577. The next prime is 2134801785617. The reversal of 2134801785600 is 65871084312.

2134801785600 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 80 + 1 + 7 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 644369544 + ... + 644372856.

Almost surely, 2^{2134801785600} is an apocalyptic number.

2134801785600 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 2134801785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4344867832536).

2134801785600 is an abundant number, since it is smaller than the sum of its proper divisors (6554933879472).

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

2134801785600 is a wasteful number, since it uses less digits than its factorization.

2134801785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475 (or 3447 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2134801785600 in words is "two trillion, one hundred thirty-four billion, eight hundred one million, seven hundred eighty-five thousand, six hundred".