19488551893056 has 189 divisors, whose sum is σ = 56121891468591. Its totient is φ = 6465917576448.

The previous prime is 19488551893039. The next prime is 19488551893081. The reversal of 19488551893056 is 65039815588491.

The square root of 19488551893056 is 4414584.

It is a perfect power (a square), and thus also a powerful number.

19488551893056 is a `hidden beast` number, since 1 + 9 + 488 + 5 + 5 + 1 + 8 + 93 + 0 + 56 = 666.

It is a super-2 number, since 2×19488551893056² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44393056485 + ... + 44393056923.

Almost surely, 2^{19488551893056} is an apocalyptic number.

19488551893056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19488551893056 is the 4414584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19488551893056

19488551893056 is an abundant number, since it is smaller than the sum of its proper divisors (36633339575535).

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

19488551893056 is an frugal number, since it uses more digits than its factorization.

19488551893056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1734 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 373248000, while the sum is 72.

The spelling of 19488551893056 in words is "nineteen trillion, four hundred eighty-eight billion, five hundred fifty-one million, eight hundred ninety-three thousand, fifty-six".