10275387494400 has 1872 divisors, whose sum is σ = 44555213164800. Its totient is φ = 2314257039360.

The previous prime is 10275387494399. The next prime is 10275387494423. The reversal of 10275387494400 is 449478357201.

10275387494400 is a `hidden beast` number, since 1 + 0 + 2 + 75 + 3 + 87 + 4 + 94 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9889689081 + ... + 9889690119.

Almost surely, 2^{10275387494400} is an apocalyptic number.

10275387494400 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 10275387494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22277606582400).

10275387494400 is an abundant number, since it is smaller than the sum of its proper divisors (34279825670400).

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

10275387494400 is a wasteful number, since it uses less digits than its factorization.

10275387494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 10275387494400 in words is "ten trillion, two hundred seventy-five billion, three hundred eighty-seven million, four hundred ninety-four thousand, four hundred".