875577778901200 has 120 divisors (see below), whose sum is σ = 2216987200300320. Its totient is φ = 331393754073600.

The previous prime is 875577778901197. The next prime is 875577778901261. The reversal of 875577778901200 is 2109877775578.

It is a super-2 number, since 2×875577778901200² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63923374 + ... + 76402573.

It is an arithmetic number, because the mean of its divisors is an integer number (18474893335836).

Almost surely, 2^{875577778901200} is an apocalyptic number.

875577778901200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

875577778901200 is an abundant number, since it is smaller than the sum of its proper divisors (1341409421399120).

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

875577778901200 is a wasteful number, since it uses less digits than its factorization.

875577778901200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140326805 (or 140326794 counting only the distinct ones).

The product of its (nonzero) digits is 484041600, while the sum is 73.

The spelling of 875577778901200 in words is "eight hundred seventy-five trillion, five hundred seventy-seven billion, seven hundred seventy-eight million, nine hundred one thousand, two hundred".