1078129458252 has 288 divisors, whose sum is σ = 3513482577920. Its totient is φ = 279856684800.

The previous prime is 1078129458227. The next prime is 1078129458253. The reversal of 1078129458252 is 2528549218701.

It is a happy number.

1078129458252 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 1 + 2 + 9 + 4 + 582 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1078129458253) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 208654173 + ... + 208659339.

Almost surely, 2^{1078129458252} is an apocalyptic number.

1078129458252 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 1078129458252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756741288960).

1078129458252 is an abundant number, since it is smaller than the sum of its proper divisors (2435353119668).

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

1078129458252 is a wasteful number, since it uses less digits than its factorization.

1078129458252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7490 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 1078129458252 in words is "one trillion, seventy-eight billion, one hundred twenty-nine million, four hundred fifty-eight thousand, two hundred fifty-two".