1896880855464 has 288 divisors, whose sum is σ = 6247388796480. Its totient is φ = 509234761728.

The previous prime is 1896880855423. The next prime is 1896880855483. The reversal of 1896880855464 is 4645580886981.

1896880855464 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 8 + 8 + 0 + 8 + 554 + 64 = 666.

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 = 1896880855392 and 1896880855401.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89859199 + ... + 89880305.

It is an arithmetic number, because the mean of its divisors is an integer number (21692322210).

Almost surely, 2^{1896880855464} is an apocalyptic number.

1896880855464 is a gapful number since it is divisible by the number (14) 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 1896880855464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123694398240).

1896880855464 is an abundant number, since it is smaller than the sum of its proper divisors (4350507941016).

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

1896880855464 is a wasteful number, since it uses less digits than its factorization.

1896880855464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21777 (or 21753 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

The spelling of 1896880855464 in words is "one trillion, eight hundred ninety-six billion, eight hundred eighty million, eight hundred fifty-five thousand, four hundred sixty-four".