157986323040 has 768 divisors, whose sum is σ = 653288509440. Its totient is φ = 31142707200.

The previous prime is 157986323039. The next prime is 157986323123. The reversal of 157986323040 is 40323689751.

157986323040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 112125856 + ... + 112127264.

It is an arithmetic number, because the mean of its divisors is an integer number (850636080).

It is a 3-persistent number, because k⋅157986323040 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^157986323040 is an apocalyptic number.

157986323040 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 157986323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326644254720).

157986323040 is an abundant number, since it is smaller than the sum of its proper divisors (495302186400).

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

157986323040 is a wasteful number, since it uses less digits than its factorization.

157986323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 157986323040 in words is "one hundred fifty-seven billion, nine hundred eighty-six million, three hundred twenty-three thousand, forty".