1981853153280 has 4320 divisors, whose sum is σ = 10097062335360. Its totient is φ = 367873228800.

The previous prime is 1981853153257. The next prime is 1981853153299. The reversal of 1981853153280 is 823513581891.

1981853153280 is a `hidden beast` number, since 1 + 9 + 81 + 8 + 531 + 5 + 3 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 63930746865 + ... + 63930746895.

It is an arithmetic number, because the mean of its divisors is an integer number (2337282948).

Almost surely, 2^{1981853153280} is an apocalyptic number.

1981853153280 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 1981853153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048531167680).

1981853153280 is an abundant number, since it is smaller than the sum of its proper divisors (8115209182080).

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

1981853153280 is a wasteful number, since it uses less digits than its factorization.

1981853153280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 1981853153280 in words is "one trillion, nine hundred eighty-one billion, eight hundred fifty-three million, one hundred fifty-three thousand, two hundred eighty".