157772780605440 has 8320 divisors, whose sum is σ = 842454372114432. Its totient is φ = 27243640258560.

The previous prime is 157772780605421. The next prime is 157772780605441. The reversal of 157772780605440 is 44506087277751.

It is a happy number.

157772780605440 is a `hidden beast` number, since 1 + 5 + 7 + 7 + 7 + 2 + 7 + 80 + 6 + 0 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157772780605441) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 6859686113269 + ... + 6859686113291.

Almost surely, 2^{157772780605440} is an apocalyptic number.

157772780605440 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 157772780605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421227186057216).

157772780605440 is an abundant number, since it is smaller than the sum of its proper divisors (684681591508992).

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

157772780605440 is an equidigital number, since it uses as much as digits as its factorization.

157772780605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 92198400, while the sum is 63.

The spelling of 157772780605440 in words is "one hundred fifty-seven trillion, seven hundred seventy-two billion, seven hundred eighty million, six hundred five thousand, four hundred forty".