10375985894400 has 3168 divisors, whose sum is σ = 46224150036480. Its totient is φ = 2173796352000.

The previous prime is 10375985894357. The next prime is 10375985894411. The reversal of 10375985894400 is 449858957301.

10375985894400 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 5 + 9 + 8 + 589 + 4 + 40 + 0 = 666.

It is a super-2 number, since 2×10375985894400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 131341593561 + ... + 131341593639.

Almost surely, 2^{10375985894400} is an apocalyptic number.

10375985894400 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 10375985894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23112075018240).

10375985894400 is an abundant number, since it is smaller than the sum of its proper divisors (35848164142080).

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

10375985894400 is a wasteful number, since it uses less digits than its factorization.

10375985894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 10375985894400 in words is "ten trillion, three hundred seventy-five billion, nine hundred eighty-five million, eight hundred ninety-four thousand, four hundred".