875655204480000 has 3960 divisors, whose sum is σ = 3874566736561664. Its totient is φ = 193693317120000.

The previous prime is 875655204479999. The next prime is 875655204480037. The reversal of 875655204480000 is 84402556578.

875655204480000 is a `hidden beast` number, since 8 + 7 + 5 + 6 + 552 + 0 + 4 + 4 + 80 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×875655204480000² (a number of 31 digits) contains 22 as substring.

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 359 ways as a sum of consecutive naturals, for example, 28246942079985 + ... + 28246942080015.

Almost surely, 2^{875655204480000} is an apocalyptic number.

875655204480000 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 875655204480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937283368280832).

875655204480000 is an abundant number, since it is smaller than the sum of its proper divisors (2998911532081664).

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

875655204480000 is an frugal number, since it uses more digits than its factorization.

875655204480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 875655204480000 in words is "eight hundred seventy-five trillion, six hundred fifty-five billion, two hundred four million, four hundred eighty thousand".