157768490880 has 1536 divisors, whose sum is σ = 764210764800. Its totient is φ = 30238064640.

The previous prime is 157768490861. The next prime is 157768490899. The reversal of 157768490880 is 88094867751.

157768490880 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 68 + 490 + 8 + 80 = 666.

157768490880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (157768490861) and next prime (157768490899).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 121080309 + ... + 121081611.

It is an arithmetic number, because the mean of its divisors is an integer number (497533050).

Almost surely, 2^157768490880 is an apocalyptic number.

157768490880 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 157768490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382105382400).

157768490880 is an abundant number, since it is smaller than the sum of its proper divisors (606442273920).

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

157768490880 is a wasteful number, since it uses less digits than its factorization.

157768490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 157768490880 in words is "one hundred fifty-seven billion, seven hundred sixty-eight million, four hundred ninety thousand, eight hundred eighty".