19480577042880 has 896 divisors, whose sum is σ = 77982056847360. Its totient is φ = 4550241484800.

The previous prime is 19480577042819. The next prime is 19480577042893. The reversal of 19480577042880 is 8824077508491.

19480577042880 is a `hidden beast` number, since 1 + 9 + 4 + 80 + 57 + 7 + 0 + 428 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124916955 + ... + 125072805.

Almost surely, 2^{19480577042880} is an apocalyptic number.

19480577042880 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 19480577042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38991028423680).

19480577042880 is an abundant number, since it is smaller than the sum of its proper divisors (58501479804480).

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

19480577042880 is a wasteful number, since it uses less digits than its factorization.

19480577042880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155954 (or 155938 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 19480577042880 in words is "nineteen trillion, four hundred eighty billion, five hundred seventy-seven million, forty-two thousand, eight hundred eighty".