10745428377600 has 2040 divisors, whose sum is σ = 46726161387840. Its totient is φ = 2390061219840.

The previous prime is 10745428377529. The next prime is 10745428377631. The reversal of 10745428377600 is 677382454701.

10745428377600 is a `hidden beast` number, since 1 + 0 + 7 + 4 + 5 + 4 + 28 + 3 + 7 + 7 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39945830266 + ... + 39945830534.

Almost surely, 2^{10745428377600} is an apocalyptic number.

10745428377600 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 10745428377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23363080693920).

10745428377600 is an abundant number, since it is smaller than the sum of its proper divisors (35980733010240).

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

10745428377600 is an frugal number, since it uses more digits than its factorization.

10745428377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 10745428377600 in words is "ten trillion, seven hundred forty-five billion, four hundred twenty-eight million, three hundred seventy-seven thousand, six hundred".