10157307861552 has 640 divisors, whose sum is σ = 29349954816000. Its totient is φ = 3015246643200.

The previous prime is 10157307861539. The next prime is 10157307861553. The reversal of 10157307861552 is 25516870375101.

10157307861552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10157307861495 and 10157307861504.

It is not an unprimeable number, because it can be changed into a prime (10157307861553) 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, 51041747949 + ... + 51041748147.

It is an arithmetic number, because the mean of its divisors is an integer number (45859304400).

Almost surely, 2^{10157307861552} is an apocalyptic number.

10157307861552 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 10157307861552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14674977408000).

10157307861552 is an abundant number, since it is smaller than the sum of its proper divisors (19192646954448).

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

10157307861552 is a wasteful number, since it uses less digits than its factorization.

10157307861552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 51.

The spelling of 10157307861552 in words is "ten trillion, one hundred fifty-seven billion, three hundred seven million, eight hundred sixty-one thousand, five hundred fifty-two".