15457272768 has 784 divisors, whose sum is σ = 57567697920. Its totient is φ = 4017641472.

The previous prime is 15457272767. The next prime is 15457272769. The reversal of 15457272768 is 86727275451.

15457272768 is a `hidden beast` number, since 1 + 5 + 4 + 572 + 7 + 2 + 7 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (15457272767) and next prime (15457272769).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15457272767) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 291646630 + ... + 291646682.

Almost surely, 2^15457272768 is an apocalyptic number.

15457272768 is a gapful number since it is divisible by the number (18) 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 15457272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28783848960).

15457272768 is an abundant number, since it is smaller than the sum of its proper divisors (42110425152).

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

15457272768 is an equidigital number, since it uses as much as digits as its factorization.

15457272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its digits is 6585600, while the sum is 54.

The spelling of 15457272768 in words is "fifteen billion, four hundred fifty-seven million, two hundred seventy-two thousand, seven hundred sixty-eight".