1551535625456 has 80 divisors (see below), whose sum is σ = 3248927055360. Its totient is φ = 715576646400.

The previous prime is 1551535625441. The next prime is 1551535625461. The reversal of 1551535625456 is 6545265351551.

It is a super-2 number, since 2×1551535625456² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1551535625398 and 1551535625407.

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 15 ways as a sum of consecutive naturals, for example, 8694731 + ... + 8871381.

It is an arithmetic number, because the mean of its divisors is an integer number (40611588192).

Almost surely, 2^{1551535625456} is an apocalyptic number.

1551535625456 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 1551535625456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624463527680).

1551535625456 is an abundant number, since it is smaller than the sum of its proper divisors (1697391429904).

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

1551535625456 is a wasteful number, since it uses less digits than its factorization.

1551535625456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177534 (or 177528 counting only the distinct ones).

The product of its digits is 13500000, while the sum is 53.

The spelling of 1551535625456 in words is "one trillion, five hundred fifty-one billion, five hundred thirty-five million, six hundred twenty-five thousand, four hundred fifty-six".