1290772854372 has 96 divisors (see below), whose sum is σ = 3281864785920. Its totient is φ = 393345469440.

The previous prime is 1290772854307. The next prime is 1290772854373. The reversal of 1290772854372 is 2734582770921.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1290772854373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2236333 + ... + 2753675.

It is an arithmetic number, because the mean of its divisors is an integer number (34186091520).

Almost surely, 2^{1290772854372} is an apocalyptic number.

1290772854372 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 1290772854372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640932392960).

1290772854372 is an abundant number, since it is smaller than the sum of its proper divisors (1991091931548).

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

1290772854372 is a wasteful number, since it uses less digits than its factorization.

1290772854372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517753 (or 517751 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 57.

The spelling of 1290772854372 in words is "one trillion, two hundred ninety billion, seven hundred seventy-two million, eight hundred fifty-four thousand, three hundred seventy-two".