1892256130560 has 320 divisors, whose sum is σ = 6115432587264. Its totient is φ = 499116441600.

The previous prime is 1892256130547. The next prime is 1892256130573. The reversal of 1892256130560 is 650316522981.

It is an interprime number because it is at equal distance from previous prime (1892256130547) and next prime (1892256130573).

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

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, 265501717 + ... + 265508843.

Almost surely, 2^{1892256130560} is an apocalyptic number.

1892256130560 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 1892256130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057716293632).

1892256130560 is an abundant number, since it is smaller than the sum of its proper divisors (4223176456704).

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

1892256130560 is a wasteful number, since it uses less digits than its factorization.

1892256130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7525 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 1892256130560 in words is "one trillion, eight hundred ninety-two billion, two hundred fifty-six million, one hundred thirty thousand, five hundred sixty".