19870848253440 has 960 divisors, whose sum is σ = 73198802476800. Its totient is φ = 5170583642112.

The previous prime is 19870848253439. The next prime is 19870848253547. The reversal of 19870848253440 is 4435284807891.

It is a happy number.

19870848253440 is a `hidden beast` number, since 1 + 9 + 87 + 0 + 8 + 482 + 5 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×19870848253440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19500341251 + ... + 19500342269.

It is an arithmetic number, because the mean of its divisors is an integer number (76248752580).

Almost surely, 2^{19870848253440} is an apocalyptic number.

19870848253440 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 19870848253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36599401238400).

19870848253440 is an abundant number, since it is smaller than the sum of its proper divisors (53327954223360).

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

19870848253440 is an frugal number, since it uses more digits than its factorization.

19870848253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 19870848253440 in words is "nineteen trillion, eight hundred seventy billion, eight hundred forty-eight million, two hundred fifty-three thousand, four hundred forty".