1072542461760 has 1120 divisors, whose sum is σ = 4784531431680. Its totient is φ = 221560012800.

The previous prime is 1072542461759. The next prime is 1072542461773. The reversal of 1072542461760 is 671642452701.

1072542461760 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 5 + 4 + 24 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 361245556 + ... + 361248524.

It is an arithmetic number, because the mean of its divisors is an integer number (4271903064).

Almost surely, 2^{1072542461760} is an apocalyptic number.

1072542461760 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 1072542461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392265715840).

1072542461760 is an abundant number, since it is smaller than the sum of its proper divisors (3711988969920).

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

1072542461760 is a wasteful number, since it uses less digits than its factorization.

1072542461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3197 (or 3178 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 1072542461760 in words is "one trillion, seventy-two billion, five hundred forty-two million, four hundred sixty-one thousand, seven hundred sixty".