157782004683264 has 1120 divisors, whose sum is σ = 522822761201664. Its totient is φ = 47247463710720.

The previous prime is 157782004683239. The next prime is 157782004683293. The reversal of 157782004683264 is 462386400287751.

157782004683264 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 82 + 0 + 0 + 468 + 32 + 64 = 666.

It is a super-2 number, since 2×157782004683264² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 32660317329 + ... + 32660322159.

Almost surely, 2^{157782004683264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157782004683264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261411380600832).

157782004683264 is an abundant number, since it is smaller than the sum of its proper divisors (365040756518400).

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

157782004683264 is an equidigital number, since it uses as much as digits as its factorization.

157782004683264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 157782004683264 in words is "one hundred fifty-seven trillion, seven hundred eighty-two billion, four million, six hundred eighty-three thousand, two hundred sixty-four".