827146120370304 has 128 divisors (see below), whose sum is σ = 2527831505232000. Its totient is φ = 234741372493824.

The previous prime is 827146120370281. The next prime is 827146120370333. The reversal of 827146120370304 is 403073021641728.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1032210397 + ... + 1033011420.

It is an arithmetic number, because the mean of its divisors is an integer number (19748683634625).

Almost surely, 2^{827146120370304} is an apocalyptic number.

827146120370304 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

827146120370304 is an abundant number, since it is smaller than the sum of its proper divisors (1700685384861696).

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

827146120370304 is a wasteful number, since it uses less digits than its factorization.

827146120370304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065221990 (or 2065221978 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 827146120370304 in words is "eight hundred twenty-seven trillion, one hundred forty-six billion, one hundred twenty million, three hundred seventy thousand, three hundred four".