1292897976480 has 768 divisors, whose sum is σ = 5210753587200. Its totient is φ = 296110080000.

The previous prime is 1292897976463. The next prime is 1292897976481. The reversal of 1292897976480 is 846797982921.

1292897976480 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 8 + 9 + 79 + 76 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1292897976399 and 1292897976408.

It is not an unprimeable number, because it can be changed into a prime (1292897976481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 362053095 + ... + 362056665.

It is an arithmetic number, because the mean of its divisors is an integer number (6784835400).

Almost surely, 2^{1292897976480} is an apocalyptic number.

1292897976480 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 1292897976480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2605376793600).

1292897976480 is an abundant number, since it is smaller than the sum of its proper divisors (3917855610720).

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

1292897976480 is a wasteful number, since it uses less digits than its factorization.

1292897976480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4026 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 1292897976480 in words is "one trillion, two hundred ninety-two billion, eight hundred ninety-seven million, nine hundred seventy-six thousand, four hundred eighty".