1825897956480 has 1728 divisors, whose sum is σ = 7406465713920. Its totient is φ = 429712957440.

The previous prime is 1825897956371. The next prime is 1825897956527. The reversal of 1825897956480 is 846597985281.

1825897956480 is a `hidden beast` number, since 1 + 8 + 2 + 5 + 8 + 97 + 9 + 56 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1825897956399 and 1825897956408.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 21998770519 + ... + 21998770601.

It is an arithmetic number, because the mean of its divisors is an integer number (4286149140).

Almost surely, 2^{1825897956480} is an apocalyptic number.

1825897956480 is a gapful number since it is divisible by the number (10) 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 1825897956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703232856960).

1825897956480 is an abundant number, since it is smaller than the sum of its proper divisors (5580567757440).

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

1825897956480 is an frugal number, since it uses more digits than its factorization.

1825897956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 1825897956480 in words is "one trillion, eight hundred twenty-five billion, eight hundred ninety-seven million, nine hundred fifty-six thousand, four hundred eighty".