157068949812300 has 216 divisors, whose sum is σ = 494214735430416. Its totient is φ = 41724257518080.

The previous prime is 157068949812283. The next prime is 157068949812361. The reversal of 157068949812300 is 3218949860751.

157068949812300 is a `hidden beast` number, since 1 + 5 + 70 + 68 + 9 + 498 + 12 + 3 + 0 + 0 = 666.

It is a super-3 number, since 3×157068949812300³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1120034787 + ... + 1120175013.

It is a 1-persistent number, because it is pandigital, but 2⋅157068949812300 = 314137899624600 is not.

Almost surely, 2^{157068949812300} is an apocalyptic number.

157068949812300 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 157068949812300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247107367715208).

157068949812300 is an abundant number, since it is smaller than the sum of its proper divisors (337145785618116).

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

157068949812300 is a wasteful number, since it uses less digits than its factorization.

157068949812300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145017 (or 145007 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 157068949812300 in words is "one hundred fifty-seven trillion, sixty-eight billion, nine hundred forty-nine million, eight hundred twelve thousand, three hundred".