1979153762880 has 1344 divisors, whose sum is σ = 7996831799040. Its totient is φ = 412018016256.

The previous prime is 1979153762849. The next prime is 1979153762893. The reversal of 1979153762880 is 882673519791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3207704332 + ... + 3207704948.

It is an arithmetic number, because the mean of its divisors is an integer number (5950023660).

Almost surely, 2^{1979153762880} is an apocalyptic number.

1979153762880 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 1979153762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3998415899520).

1979153762880 is an abundant number, since it is smaller than the sum of its proper divisors (6017678036160).

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

1979153762880 is a wasteful number, since it uses less digits than its factorization.

1979153762880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 66.

The spelling of 1979153762880 in words is "one trillion, nine hundred seventy-nine billion, one hundred fifty-three million, seven hundred sixty-two thousand, eight hundred eighty".