1075478263200 has 1728 divisors, whose sum is σ = 4468178018304. Its totient is φ = 240952320000.

The previous prime is 1075478263163. The next prime is 1075478263253. The reversal of 1075478263200 is 23628745701.

1075478263200 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 4 + 7 + 8 + 2 + 632 + 0 + 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 287 ways as a sum of consecutive naturals, for example, 6439989517 + ... + 6439989683.

It is an arithmetic number, because the mean of its divisors is an integer number (2585751168).

Almost surely, 2^{1075478263200} is an apocalyptic number.

1075478263200 is a gapful number since it is divisible by the number (10) 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 1075478263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234089009152).

1075478263200 is an abundant number, since it is smaller than the sum of its proper divisors (3392699755104).

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

1075478263200 is a wasteful number, since it uses less digits than its factorization.

1075478263200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1075478263200 in words is "one trillion, seventy-five billion, four hundred seventy-eight million, two hundred sixty-three thousand, two hundred".