157244983378560 has 1536 divisors, whose sum is σ = 707197192416000. Its totient is φ = 32652557844480.

The previous prime is 157244983378559. The next prime is 157244983378621. The reversal of 157244983378560 is 65873389442751.

157244983378560 is a `hidden beast` number, since 1 + 5 + 7 + 2 + 4 + 498 + 3 + 3 + 78 + 5 + 60 = 666.

It is a super-2 number, since 2×157244983378560² (a number of 29 digits) contains 22 as substring.

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

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 191 ways as a sum of consecutive naturals, for example, 16662598162 + ... + 16662607598.

It is a 2-persistent number, because it is pandigital, and so is 2⋅157244983378560 = 314489966757120, but 3⋅157244983378560 = 471734950135680 is not.

Almost surely, 2^{157244983378560} is an apocalyptic number.

157244983378560 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 157244983378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353598596208000).

157244983378560 is an abundant number, since it is smaller than the sum of its proper divisors (549952209037440).

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

157244983378560 is a wasteful number, since it uses less digits than its factorization.

157244983378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11279 (or 11254 counting only the distinct ones).

The product of its (nonzero) digits is 1219276800, while the sum is 72.

The spelling of 157244983378560 in words is "one hundred fifty-seven trillion, two hundred forty-four billion, nine hundred eighty-three million, three hundred seventy-eight thousand, five hundred sixty".