157250461040000 has 320 divisors, whose sum is σ = 414580447290240. Its totient is φ = 59187621888000.

The previous prime is 157250461039981. The next prime is 157250461040009. The reversal of 157250461040000 is 40164052751.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157250461040009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8667270929 + ... + 8667289071.

It is an arithmetic number, because the mean of its divisors is an integer number (1295563897782).

Almost surely, 2^{157250461040000} is an apocalyptic number.

157250461040000 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 157250461040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207290223645120).

157250461040000 is an abundant number, since it is smaller than the sum of its proper divisors (257329986250240).

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

157250461040000 is an equidigital number, since it uses as much as digits as its factorization.

157250461040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24567 (or 24540 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 157250461040000 in words is "one hundred fifty-seven trillion, two hundred fifty billion, four hundred sixty-one million, forty thousand".