1551350265696 has 2304 divisors, whose sum is σ = 6445910016000. Its totient is φ = 365142919680.

The previous prime is 1551350265691. The next prime is 1551350265701. The reversal of 1551350265696 is 6965620531551.

1551350265696 is a `hidden beast` number, since 1 + 5 + 5 + 1 + 3 + 50 + 26 + 569 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1551350265691) and next prime (1551350265701).

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 (1551350265691) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 67450011541 + ... + 67450011563.

It is an arithmetic number, because the mean of its divisors is an integer number (2797704000).

Almost surely, 2^{1551350265696} is an apocalyptic number.

1551350265696 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 1551350265696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222955008000).

1551350265696 is an abundant number, since it is smaller than the sum of its proper divisors (4894559750304).

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

1551350265696 is an equidigital number, since it uses as much as digits as its factorization.

1551350265696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 54.

The spelling of 1551350265696 in words is "one trillion, five hundred fifty-one billion, three hundred fifty million, two hundred sixty-five thousand, six hundred ninety-six".