1047506288640 has 1536 divisors, whose sum is σ = 4268863918080. Its totient is φ = 217998950400.

The previous prime is 1047506288603. The next prime is 1047506288657. The reversal of 1047506288640 is 468826057401.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17172234210 + ... + 17172234270.

It is an arithmetic number, because the mean of its divisors is an integer number (2779208280).

Almost surely, 2^{1047506288640} is an apocalyptic number.

1047506288640 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 1047506288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134431959040).

1047506288640 is an abundant number, since it is smaller than the sum of its proper divisors (3221357629440).

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

1047506288640 is an equidigital number, since it uses as much as digits as its factorization.

1047506288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 1047506288640 in words is "one trillion, forty-seven billion, five hundred six million, two hundred eighty-eight thousand, six hundred forty".