862054479360 has 320 divisors, whose sum is σ = 3078002727360. Its totient is φ = 228686561280.

The previous prime is 862054479313. The next prime is 862054479409. The reversal of 862054479360 is 63974450268.

862054479360 is a `hidden beast` number, since 8 + 6 + 2 + 0 + 544 + 7 + 93 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 862054479297 and 862054479306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13307850 + ... + 13372470.

It is an arithmetic number, because the mean of its divisors is an integer number (9618758523).

Almost surely, 2^862054479360 is an apocalyptic number.

862054479360 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 862054479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539001363680).

862054479360 is an abundant number, since it is smaller than the sum of its proper divisors (2215948248000).

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

862054479360 is a wasteful number, since it uses less digits than its factorization.

862054479360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64846 (or 64824 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 862054479360 in words is "eight hundred sixty-two billion, fifty-four million, four hundred seventy-nine thousand, three hundred sixty".