1295185489920 has 1352 divisors, whose sum is σ = 5641527528864. Its totient is φ = 278628139008.

The previous prime is 1295185489919. The next prime is 1295185489957. The reversal of 1295185489920 is 299845815921.

1295185489920 is a `hidden beast` number, since 1 + 2 + 9 + 51 + 85 + 489 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 103 ways as a sum of consecutive naturals, for example, 76187381752 + ... + 76187381768.

Almost surely, 2^{1295185489920} is an apocalyptic number.

1295185489920 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 1295185489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820763764432).

1295185489920 is an abundant number, since it is smaller than the sum of its proper divisors (4346342038944).

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

1295185489920 is an frugal number, since it uses more digits than its factorization.

1295185489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

It can be divided in two parts, 1295185 and 489920, that added together give a triangular number (1785105 = T₁₈₈₉).

The spelling of 1295185489920 in words is "one trillion, two hundred ninety-five billion, one hundred eighty-five million, four hundred eighty-nine thousand, nine hundred twenty".