157257110233260 has 288 divisors, whose sum is σ = 494041024975680. Its totient is φ = 40464582912000.

The previous prime is 157257110233253. The next prime is 157257110233271. The reversal of 157257110233260 is 62332011752751.

157257110233260 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 571 + 10 + 2 + 3 + 3 + 2 + 60 = 666.

It is a super-2 number, since 2×157257110233260² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9444295935 + ... + 9444312585.

It is an arithmetic number, because the mean of its divisors is an integer number (1715420225610).

Almost surely, 2^{157257110233260} is an apocalyptic number.

157257110233260 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 157257110233260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247020512487840).

157257110233260 is an abundant number, since it is smaller than the sum of its proper divisors (336783914742420).

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

157257110233260 is a wasteful number, since it uses less digits than its factorization.

157257110233260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33009 (or 33004 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 157257110233260 in words is "one hundred fifty-seven trillion, two hundred fifty-seven billion, one hundred ten million, two hundred thirty-three thousand, two hundred sixty".