157019316480 has 720 divisors, whose sum is σ = 611809335984. Its totient is φ = 38220595200.

The previous prime is 157019316463. The next prime is 157019316557. The reversal of 157019316480 is 84613910751.

157019316480 is a `hidden beast` number, since 1 + 5 + 70 + 1 + 93 + 16 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 59645362176 + 97373954304 = 244224^2 + 312048^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130739880 + ... + 130741080.

Almost surely, 2^157019316480 is an apocalyptic number.

157019316480 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 157019316480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305904667992).

157019316480 is an abundant number, since it is smaller than the sum of its proper divisors (454790019504).

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

157019316480 is a wasteful number, since it uses less digits than its factorization.

157019316480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 157019316480 in words is "one hundred fifty-seven billion, nineteen million, three hundred sixteen thousand, four hundred eighty".