157790024663040 has 6144 divisors, whose sum is σ = 776313559296000. Its totient is φ = 30339508469760.

The previous prime is 157790024662993. The next prime is 157790024663069. The reversal of 157790024663040 is 40366420097751.

157790024663040 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 90 + 0 + 246 + 6 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 3669535457259 + ... + 3669535457301.

It is an arithmetic number, because the mean of its divisors is an integer number (126353118375).

Almost surely, 2^{157790024663040} is an apocalyptic number.

157790024663040 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 157790024663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388156779648000).

157790024663040 is an abundant number, since it is smaller than the sum of its proper divisors (618523534632960).

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

157790024663040 is an frugal number, since it uses more digits than its factorization.

157790024663040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 157790024663040 in words is "one hundred fifty-seven trillion, seven hundred ninety billion, twenty-four million, six hundred sixty-three thousand, forty".