1971099636480 has 1152 divisors, whose sum is σ = 8007805290240. Its totient is φ = 454825082880.

The previous prime is 1971099636461. The next prime is 1971099636491. The reversal of 1971099636480 is 846369901791.

1971099636480 is a `hidden beast` number, since 1 + 9 + 7 + 1 + 0 + 99 + 63 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 127 ways as a sum of consecutive naturals, for example, 3215496654 + ... + 3215497266.

It is an arithmetic number, because the mean of its divisors is an integer number (6951219870).

Almost surely, 2^{1971099636480} is an apocalyptic number.

1971099636480 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 1971099636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003902645120).

1971099636480 is an abundant number, since it is smaller than the sum of its proper divisors (6036705653760).

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

1971099636480 is a wasteful number, since it uses less digits than its factorization.

1971099636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 1971099636480 in words is "one trillion, nine hundred seventy-one billion, ninety-nine million, six hundred thirty-six thousand, four hundred eighty".