157872821040 has 320 divisors, whose sum is σ = 593729856000. Its totient is φ = 38239257600.

The previous prime is 157872821039. The next prime is 157872821047. The reversal of 157872821040 is 40128278751.

157872821040 is a `hidden beast` number, since 1 + 578 + 7 + 28 + 2 + 10 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (157872821047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38512911 + ... + 38517009.

It is an arithmetic number, because the mean of its divisors is an integer number (1855405800).

Almost surely, 2^157872821040 is an apocalyptic number.

157872821040 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 157872821040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296864928000).

157872821040 is an abundant number, since it is smaller than the sum of its proper divisors (435857034960).

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

157872821040 is a wasteful number, since it uses less digits than its factorization.

157872821040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 157872821040 in words is "one hundred fifty-seven billion, eight hundred seventy-two million, eight hundred twenty-one thousand, forty".