1292894880552 has 384 divisors, whose sum is σ = 4125432729600. Its totient is φ = 375744096000.

The previous prime is 1292894880467. The next prime is 1292894880587. The reversal of 1292894880552 is 2550884982921.

1292894880552 is a `hidden beast` number, since 1 + 29 + 2 + 89 + 488 + 0 + 5 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1292894880552.

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, 93633633 + ... + 93647439.

It is an arithmetic number, because the mean of its divisors is an integer number (10743314400).

Almost surely, 2^{1292894880552} is an apocalyptic number.

1292894880552 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 1292894880552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062716364800).

1292894880552 is an abundant number, since it is smaller than the sum of its proper divisors (2832537849048).

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

1292894880552 is a wasteful number, since it uses less digits than its factorization.

1292894880552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14019 (or 14003 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 1292894880552 in words is "one trillion, two hundred ninety-two billion, eight hundred ninety-four million, eight hundred eighty thousand, five hundred fifty-two".