1891152214560 has 576 divisors, whose sum is σ = 7488108875520. Its totient is φ = 425681879040.

The previous prime is 1891152214477. The next prime is 1891152214571. The reversal of 1891152214560 is 654122511981.

1891152214560 is a `hidden beast` number, since 1 + 8 + 9 + 11 + 52 + 21 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 596764656 + ... + 596767824.

It is an arithmetic number, because the mean of its divisors is an integer number (13000189020).

Almost surely, 2^{1891152214560} is an apocalyptic number.

1891152214560 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 1891152214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744054437760).

1891152214560 is an abundant number, since it is smaller than the sum of its proper divisors (5596956660960).

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

1891152214560 is a wasteful number, since it uses less digits than its factorization.

1891152214560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4070 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 1891152214560 in words is "one trillion, eight hundred ninety-one billion, one hundred fifty-two million, two hundred fourteen thousand, five hundred sixty".