887961221280 has 1536 divisors, whose sum is σ = 3869481369600. Its totient is φ = 185671471104.

The previous prime is 887961221243. The next prime is 887961221297. The reversal of 887961221280 is 82122169788.

887961221280 is a `hidden beast` number, since 8 + 8 + 7 + 9 + 612 + 2 + 12 + 8 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 3137672019 + ... + 3137672301.

It is an arithmetic number, because the mean of its divisors is an integer number (2519193600).

Almost surely, 2^887961221280 is an apocalyptic number.

887961221280 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 887961221280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934740684800).

887961221280 is an abundant number, since it is smaller than the sum of its proper divisors (2981520148320).

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

887961221280 is a wasteful number, since it uses less digits than its factorization.

887961221280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 887961221280 in words is "eight hundred eighty-seven billion, nine hundred sixty-one million, two hundred twenty-one thousand, two hundred eighty".