1551416328000 has 4480 divisors, whose sum is σ = 7953506795520. Its totient is φ = 288645120000.

The previous prime is 1551416327971. The next prime is 1551416328013. The reversal of 1551416328000 is 8236141551.

1551416328000 is a `hidden beast` number, since 1 + 5 + 5 + 14 + 1 + 632 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 26295191971 + ... + 26295192029.

Almost surely, 2^{1551416328000} is an apocalyptic number.

1551416328000 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 1551416328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976753397760).

1551416328000 is an abundant number, since it is smaller than the sum of its proper divisors (6402090467520).

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

1551416328000 is a wasteful number, since it uses less digits than its factorization.

1551416328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1551416328000 in words is "one trillion, five hundred fifty-one billion, four hundred sixteen million, three hundred twenty-eight thousand".