10154328477696 has 624 divisors, whose sum is σ = 32548224159360. Its totient is φ = 3029937684480.

The previous prime is 10154328477599. The next prime is 10154328477719. The reversal of 10154328477696 is 69677482345101.

10154328477696 is a `hidden beast` number, since 1 + 0 + 1 + 5 + 432 + 8 + 47 + 76 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-2 number, since 2×10154328477696² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6720269581 + ... + 6720271091.

It is an arithmetic number, because the mean of its divisors is an integer number (52160615640).

It is a 1-persistent number, because it is pandigital, but 2⋅10154328477696 = 20308656955392 is not.

Almost surely, 2^{10154328477696} is an apocalyptic number.

10154328477696 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 10154328477696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16274112079680).

10154328477696 is an abundant number, since it is smaller than the sum of its proper divisors (22393895681664).

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

10154328477696 is a wasteful number, since it uses less digits than its factorization.

10154328477696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 10154328477696 in words is "ten trillion, one hundred fifty-four billion, three hundred twenty-eight million, four hundred seventy-seven thousand, six hundred ninety-six".