5875510771200 has 960 divisors, whose sum is σ = 22540362324480. Its totient is φ = 1321427927040.

The previous prime is 5875510771139. The next prime is 5875510771261. The reversal of 5875510771200 is 21770155785.

It is an interprime number because it is at equal distance from previous prime (5875510771139) and next prime (5875510771261).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5875510771200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8678745262 + ... + 8678745938.

It is an arithmetic number, because the mean of its divisors is an integer number (23479544088).

Almost surely, 2^{5875510771200} is an apocalyptic number.

5875510771200 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 5875510771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11270181162240).

5875510771200 is an abundant number, since it is smaller than the sum of its proper divisors (16664851553280).

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

5875510771200 is a wasteful number, since it uses less digits than its factorization.

5875510771200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 686000, while the sum is 48.

The spelling of 5875510771200 in words is "five trillion, eight hundred seventy-five billion, five hundred ten million, seven hundred seventy-one thousand, two hundred".