870940901376 has 1536 divisors, whose sum is σ = 3462563220480. Its totient is φ = 204296159232.

The previous prime is 870940901339. The next prime is 870940901407. The reversal of 870940901376 is 673109049078.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10493263831 + ... + 10493263913.

It is an arithmetic number, because the mean of its divisors is an integer number (2254272930).

Almost surely, 2^870940901376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870940901376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731281610240).

870940901376 is an abundant number, since it is smaller than the sum of its proper divisors (2591622319104).

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

870940901376 is a wasteful number, since it uses less digits than its factorization.

870940901376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 870940901376 in words is "eight hundred seventy billion, nine hundred forty million, nine hundred one thousand, three hundred seventy-six".