10757995432800 has 1728 divisors, whose sum is σ = 45186251894784. Its totient is φ = 2198123827200.

The previous prime is 10757995432763. The next prime is 10757995432853. The reversal of 10757995432800 is 823459975701.

It is a happy number.

It is a super-3 number, since 3×10757995432800³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 35042330247 + ... + 35042330553.

It is an arithmetic number, because the mean of its divisors is an integer number (26149451328).

Almost surely, 2^{10757995432800} is an apocalyptic number.

10757995432800 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 10757995432800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22593125947392).

10757995432800 is an abundant number, since it is smaller than the sum of its proper divisors (34428256461984).

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

10757995432800 is a wasteful number, since it uses less digits than its factorization.

10757995432800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 60.

The spelling of 10757995432800 in words is "ten trillion, seven hundred fifty-seven billion, nine hundred ninety-five million, four hundred thirty-two thousand, eight hundred".