2135544566400 has 768 divisors, whose sum is σ = 9220209868800. Its totient is φ = 472374374400.

The previous prime is 2135544566383. The next prime is 2135544566423. The reversal of 2135544566400 is 46654455312.

2135544566400 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 5 + 44 + 566 + 40 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 18691849 + ... + 18805751.

It is an arithmetic number, because the mean of its divisors is an integer number (12005481600).

Almost surely, 2^{2135544566400} is an apocalyptic number.

2135544566400 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 2135544566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4610104934400).

2135544566400 is an abundant number, since it is smaller than the sum of its proper divisors (7084665302400).

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

2135544566400 is a wasteful number, since it uses less digits than its factorization.

2135544566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113974 (or 113951 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 2135544566400 in words is "two trillion, one hundred thirty-five billion, five hundred forty-four million, five hundred sixty-six thousand, four hundred".