157380238828800 has 1728 divisors, whose sum is σ = 646908016070400. Its totient is φ = 37171917619200.

The previous prime is 157380238828739. The next prime is 157380238828849. The reversal of 157380238828800 is 8828832083751.

157380238828800 is a `hidden beast` number, since 1 + 573 + 8 + 0 + 2 + 38 + 8 + 28 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10618725390 + ... + 10618740210.

Almost surely, 2^{157380238828800} is an apocalyptic number.

157380238828800 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 157380238828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323454008035200).

157380238828800 is an abundant number, since it is smaller than the sum of its proper divisors (489527777241600).

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

157380238828800 is a wasteful number, since it uses less digits than its factorization.

157380238828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15061 (or 15036 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 157380238828800 in words is "one hundred fifty-seven trillion, three hundred eighty billion, two hundred thirty-eight million, eight hundred twenty-eight thousand, eight hundred".