157244399642880 has 2160 divisors, whose sum is σ = 646443294944832. Its totient is φ = 36180769996800.

The previous prime is 157244399642867. The next prime is 157244399642959. The reversal of 157244399642880 is 88246993442751.

157244399642880 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 4 + 4 + 39 + 96 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 157244399642799 and 157244399642808.

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 239 ways as a sum of consecutive naturals, for example, 58088066487 + ... + 58088069193.

It is a 2-persistent number, because it is pandigital, and so is 2⋅157244399642880 = 314488799285760, but 3⋅157244399642880 = 471733198928640 is not.

Almost surely, 2^{157244399642880} is an apocalyptic number.

157244399642880 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 157244399642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323221647472416).

157244399642880 is an abundant number, since it is smaller than the sum of its proper divisors (489198895301952).

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

157244399642880 is a wasteful number, since it uses less digits than its factorization.

157244399642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 157244399642880 in words is "one hundred fifty-seven trillion, two hundred forty-four billion, three hundred ninety-nine million, six hundred forty-two thousand, eight hundred eighty".