825614401920 has 512 divisors, whose sum is σ = 3308200565760. Its totient is φ = 171552522240.

The previous prime is 825614401903. The next prime is 825614401939. The reversal of 825614401920 is 29104416528.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17865564 + ... + 17911716.

It is an arithmetic number, because the mean of its divisors is an integer number (6461329230).

Almost surely, 2^825614401920 is an apocalyptic number.

825614401920 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 825614401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654100282880).

825614401920 is an abundant number, since it is smaller than the sum of its proper divisors (2482586163840).

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

825614401920 is a wasteful number, since it uses less digits than its factorization.

825614401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46215 (or 46181 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 825614401920 in words is "eight hundred twenty-five billion, six hundred fourteen million, four hundred one thousand, nine hundred twenty".