157271553271040 has 576 divisors, whose sum is σ = 446262106268160. Its totient is φ = 52544559513600.

The previous prime is 157271553271009. The next prime is 157271553271069. The reversal of 157271553271040 is 40172355172751.

It is a self number, because there is not a number n which added to its sum of digits gives 157271553271040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5097432254 + ... + 5097463106.

It is an arithmetic number, because the mean of its divisors is an integer number (774760601160).

Almost surely, 2^{157271553271040} is an apocalyptic number.

157271553271040 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 157271553271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223131053134080).

157271553271040 is an abundant number, since it is smaller than the sum of its proper divisors (288990552997120).

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

157271553271040 is a wasteful number, since it uses less digits than its factorization.

157271553271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31630 (or 31616 counting only the distinct ones).

The product of its (nonzero) digits is 2058000, while the sum is 50.

The spelling of 157271553271040 in words is "one hundred fifty-seven trillion, two hundred seventy-one billion, five hundred fifty-three million, two hundred seventy-one thousand, forty".