1292825753856 has 1728 divisors, whose sum is σ = 5039785820160. Its totient is φ = 321411317760.

The previous prime is 1292825753833. The next prime is 1292825753893. The reversal of 1292825753856 is 6583575282921.

It is a happy number.

1292825753856 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 8 + 2 + 575 + 3 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1292825753793 and 1292825753802.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9300904635 + ... + 9300904773.

It is an arithmetic number, because the mean of its divisors is an integer number (2916542720).

Almost surely, 2^{1292825753856} is an apocalyptic number.

1292825753856 is a gapful number since it is divisible by the number (16) 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 1292825753856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519892910080).

1292825753856 is an abundant number, since it is smaller than the sum of its proper divisors (3746960066304).

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

1292825753856 is a wasteful number, since it uses less digits than its factorization.

1292825753856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 248 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 1292825753856 in words is "one trillion, two hundred ninety-two billion, eight hundred twenty-five million, seven hundred fifty-three thousand, eight hundred fifty-six".