157761478636992 has 224 divisors, whose sum is σ = 479691138355200. Its totient is φ = 50790808857600.

The previous prime is 157761478636873. The next prime is 157761478637057. The reversal of 157761478636992 is 299636874167751.

157761478636992 is a `hidden beast` number, since 1 + 5 + 77 + 61 + 47 + 8 + 6 + 369 + 92 = 666.

It is a super-3 number, since 3×157761478636992³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24373117 + ... + 30159107.

Almost surely, 2^{157761478636992} is an apocalyptic number.

157761478636992 is a gapful number since it is divisible by the number (12) 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 157761478636992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239845569177600).

157761478636992 is an abundant number, since it is smaller than the sum of its proper divisors (321929659718208).

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

157761478636992 is a wasteful number, since it uses less digits than its factorization.

157761478636992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5786552 (or 5786536 counting only the distinct ones).

The product of its digits is 5761082880, while the sum is 81.

The spelling of 157761478636992 in words is "one hundred fifty-seven trillion, seven hundred sixty-one billion, four hundred seventy-eight million, six hundred thirty-six thousand, nine hundred ninety-two".