155807728416 has 192 divisors, whose sum is σ = 462435402240. Its totient is φ = 51024107520.

The previous prime is 155807728333. The next prime is 155807728429. The reversal of 155807728416 is 614827708551.

155807728416 is a `hidden beast` number, since 1 + 558 + 0 + 7 + 7 + 2 + 84 + 1 + 6 = 666.

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

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, 75523801 + ... + 75525863.

It is an arithmetic number, because the mean of its divisors is an integer number (2408517720).

Almost surely, 2^155807728416 is an apocalyptic number.

155807728416 is a gapful number since it is divisible by the number (16) 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 155807728416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231217701120).

155807728416 is an abundant number, since it is smaller than the sum of its proper divisors (306627673824).

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

155807728416 is a wasteful number, since it uses less digits than its factorization.

155807728416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 155807728416 in words is "one hundred fifty-five billion, eight hundred seven million, seven hundred twenty-eight thousand, four hundred sixteen".