10780348263300 has 1944 divisors, whose sum is σ = 46443130435520. Its totient is φ = 2120095296000.

The previous prime is 10780348263299. The next prime is 10780348263317. The reversal of 10780348263300 is 336284308701.

10780348263300 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 0 + 3 + 4 + 8 + 2 + 633 + 0 + 0 = 666.

It is a super-2 number, since 2×10780348263300² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 10558616790 + ... + 10558617810.

Almost surely, 2^{10780348263300} is an apocalyptic number.

10780348263300 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 10780348263300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23221565217760).

10780348263300 is an abundant number, since it is smaller than the sum of its proper divisors (35662782172220).

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

10780348263300 is a wasteful number, since it uses less digits than its factorization.

10780348263300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 10780348263300 in words is "ten trillion, seven hundred eighty billion, three hundred forty-eight million, two hundred sixty-three thousand, three hundred".