5748776100000 has 864 divisors, whose sum is σ = 21712885255152. Its totient is φ = 1437696000000.

The previous prime is 5748776099993. The next prime is 5748776100007. The reversal of 5748776100000 is 16778475.

5748776100000 is a `hidden beast` number, since 574 + 8 + 7 + 76 + 1 + 0 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5748776099993) and next prime (5748776100007).

It can be written as a sum of positive squares in 24 ways, for example, as 3675487128336 + 2073288971664 = 1917156^2 + 1439892^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5748776100007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6135299532 + ... + 6135300468.

Almost surely, 2^{5748776100000} is an apocalyptic number.

5748776100000 is a gapful number since it is divisible by the number (50) 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 5748776100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856442627576).

5748776100000 is an abundant number, since it is smaller than the sum of its proper divisors (15964109155152).

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

5748776100000 is a wasteful number, since it uses less digits than its factorization.

5748776100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 5748776100000 in words is "five trillion, seven hundred forty-eight billion, seven hundred seventy-six million, one hundred thousand".