1047635998720 has 192 divisors, whose sum is σ = 2537684341920. Its totient is φ = 415078809600.

The previous prime is 1047635998697. The next prime is 1047635998757. The reversal of 1047635998720 is 278995367401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 503428080 + ... + 503430160.

It is a 1-persistent number, because it is pandigital, but 2⋅1047635998720 = 2095271997440 is not.

Almost surely, 2^{1047635998720} is an apocalyptic number.

1047635998720 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 1047635998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268842170960).

1047635998720 is an abundant number, since it is smaller than the sum of its proper divisors (1490048343200).

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

1047635998720 is a wasteful number, since it uses less digits than its factorization.

1047635998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 61.

The spelling of 1047635998720 in words is "one trillion, forty-seven billion, six hundred thirty-five million, nine hundred ninety-eight thousand, seven hundred twenty".