1290574378576 has 30 divisors (see below), whose sum is σ = 2908730775930. Its totient is φ = 553103304768.

The previous prime is 1290574378571. The next prime is 1290574378579. The reversal of 1290574378576 is 6758734750921.

It can be written as a sum of positive squares in only one way, i.e., 855950630976 + 434623747600 = 925176^2 + 659260^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290574378571) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 823069611 + ... + 823071178.

It is an arithmetic number, because the mean of its divisors is an integer number (96957692531).

It is a 1-persistent number, because it is pandigital, but 2⋅1290574378576 = 2581148757152 is not.

Almost surely, 2^{1290574378576} is an apocalyptic number.

1290574378576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1290574378576 is an abundant number, since it is smaller than the sum of its proper divisors (1618156397354).

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

1290574378576 is a wasteful number, since it uses less digits than its factorization.

1290574378576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646140811 (or 1646140798 counting only the distinct ones).

The product of its (nonzero) digits is 88905600, while the sum is 64.

The spelling of 1290574378576 in words is "one trillion, two hundred ninety billion, five hundred seventy-four million, three hundred seventy-eight thousand, five hundred seventy-six".