157666279680 has 1440 divisors, whose sum is σ = 735941251584. Its totient is φ = 31277187072.

The previous prime is 157666279679. The next prime is 157666279691. The reversal of 157666279680 is 86972666751.

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 160392469 + ... + 160393451.

Almost surely, 2^157666279680 is an apocalyptic number.

157666279680 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 157666279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367970625792).

157666279680 is an abundant number, since it is smaller than the sum of its proper divisors (578274971904).

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

157666279680 is a wasteful number, since it uses less digits than its factorization.

157666279680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 157666279680 in words is "one hundred fifty-seven billion, six hundred sixty-six million, two hundred seventy-nine thousand, six hundred eighty".