10075045780800 has 3024 divisors, whose sum is σ = 50532224730624. Its totient is φ = 1869557760000.

The previous prime is 10075045780747. The next prime is 10075045780867. The reversal of 10075045780800 is 808754057001.

It is a happy number.

10075045780800 is a `hidden beast` number, since 1 + 0 + 0 + 75 + 0 + 4 + 578 + 0 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3127923190 + ... + 3127926410.

It is an arithmetic number, because the mean of its divisors is an integer number (16710391776).

Almost surely, 2^{10075045780800} is an apocalyptic number.

10075045780800 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 10075045780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25266112365312).

10075045780800 is an abundant number, since it is smaller than the sum of its proper divisors (40457178949824).

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

10075045780800 is a wasteful number, since it uses less digits than its factorization.

10075045780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 10075045780800 in words is "ten trillion, seventy-five billion, forty-five million, seven hundred eighty thousand, eight hundred".