1981130477760 has 1008 divisors, whose sum is σ = 8245471643136. Its totient is φ = 451449427968.

The previous prime is 1981130477737. The next prime is 1981130477797. The reversal of 1981130477760 is 677740311891.

It is a happy number.

1981130477760 is a `hidden beast` number, since 1 + 9 + 81 + 1 + 30 + 477 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1981130477697 and 1981130477706.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1764140559 + ... + 1764141681.

It is an arithmetic number, because the mean of its divisors is an integer number (8180031392).

Almost surely, 2^{1981130477760} is an apocalyptic number.

1981130477760 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 1981130477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122735821568).

1981130477760 is an abundant number, since it is smaller than the sum of its proper divisors (6264341165376).

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

1981130477760 is a wasteful number, since it uses less digits than its factorization.

1981130477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 1981130477760 in words is "one trillion, nine hundred eighty-one billion, one hundred thirty million, four hundred seventy-seven thousand, seven hundred sixty".