1551253270896 has 320 divisors, whose sum is σ = 5116365388800. Its totient is φ = 440817583104.

The previous prime is 1551253270873. The next prime is 1551253270961. The reversal of 1551253270896 is 6980723521551.

1551253270896 is a `hidden beast` number, since 1 + 5 + 5 + 12 + 532 + 7 + 0 + 8 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 628800255 + ... + 628802721.

It is an arithmetic number, because the mean of its divisors is an integer number (15988641840).

Almost surely, 2^{1551253270896} is an apocalyptic number.

1551253270896 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 1551253270896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558182694400).

1551253270896 is an abundant number, since it is smaller than the sum of its proper divisors (3565112117904).

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

1551253270896 is a wasteful number, since it uses less digits than its factorization.

1551253270896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 1551253270896 in words is "one trillion, five hundred fifty-one billion, two hundred fifty-three million, two hundred seventy thousand, eight hundred ninety-six".