875187050400 has 1296 divisors, whose sum is σ = 3671751492864. Its totient is φ = 202628874240.

The previous prime is 875187050399. The next prime is 875187050407. The reversal of 875187050400 is 4050781578.

It is a happy number.

875187050400 is a `hidden beast` number, since 8 + 75 + 1 + 8 + 70 + 504 + 0 + 0 = 666.

875187050400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

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 (875187050407) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 558510417 + ... + 558511983.

It is an arithmetic number, because the mean of its divisors is an integer number (2833141584).

Almost surely, 2^875187050400 is an apocalyptic number.

875187050400 is a gapful number since it is divisible by the number (80) 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 875187050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835875746432).

875187050400 is an abundant number, since it is smaller than the sum of its proper divisors (2796564442464).

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

875187050400 is a wasteful number, since it uses less digits than its factorization.

875187050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The spelling of 875187050400 in words is "eight hundred seventy-five billion, one hundred eighty-seven million, fifty thousand, four hundred".