157767840000 has 405 divisors, whose sum is σ = 570144994419. Its totient is φ = 41944320000.

The previous prime is 157767839989. The next prime is 157767840007. The reversal of 157767840000 is 48767751.

The square root of 157767840000 is 397200.

It is a perfect power (a square), and thus also a powerful number.

157767840000 is a `hidden beast` number, since 1 + 577 + 6 + 78 + 4 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12368998656 + 145398841344 = 111216^2 + 381312^2 .

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

It is not an unprimeable number, because it can be changed into a prime (157767840007) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 476639835 + ... + 476640165.

Almost surely, 2^157767840000 is an apocalyptic number.

157767840000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

157767840000 is the 397200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157767840000

157767840000 is an abundant number, since it is smaller than the sum of its proper divisors (412377154419).

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

157767840000 is an frugal number, since it uses more digits than its factorization.

157767840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 157767840000 in words is "one hundred fifty-seven billion, seven hundred sixty-seven million, eight hundred forty thousand".