4053578256000 has 4096 divisors, whose sum is σ = 19874469888000. Its totient is φ = 798153523200.

The previous prime is 4053578255927. The next prime is 4053578256001. The reversal of 4053578256000 is 6528753504.

4053578256000 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 5 + 7 + 82 + 560 + 0 + 0 = 666.

4053578256000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (4053578256001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 60501167967 + ... + 60501168033.

It is an arithmetic number, because the mean of its divisors is an integer number (4852165500).

Almost surely, 2^{4053578256000} is an apocalyptic number.

4053578256000 is a gapful number since it is divisible by the number (40) 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 4053578256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9937234944000).

4053578256000 is an abundant number, since it is smaller than the sum of its proper divisors (15820891632000).

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

4053578256000 is an equidigital number, since it uses as much as digits as its factorization.

4053578256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 4053578256000 in words is "four trillion, fifty-three billion, five hundred seventy-eight million, two hundred fifty-six thousand".