1048209960672 has 240 divisors, whose sum is σ = 3542843525760. Its totient is φ = 297814516992.

The previous prime is 1048209960619. The next prime is 1048209960689. The reversal of 1048209960672 is 2760699028401.

1048209960672 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 20 + 9 + 9 + 606 + 7 + 2 = 666.

1048209960672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3086403 + ... + 3409149.

It is an arithmetic number, because the mean of its divisors is an integer number (14761848024).

Almost surely, 2^{1048209960672} is an apocalyptic number.

1048209960672 is a gapful number since it is divisible by the number (12) 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 1048209960672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771421762880).

1048209960672 is an abundant number, since it is smaller than the sum of its proper divisors (2494633565088).

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

1048209960672 is a wasteful number, since it uses less digits than its factorization.

1048209960672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322955 (or 322938 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1048209960672 in words is "one trillion, forty-eight billion, two hundred nine million, nine hundred sixty thousand, six hundred seventy-two".