1551523613640 has 1024 divisors, whose sum is σ = 6965554176000. Its totient is φ = 265341173760.

The previous prime is 1551523613593. The next prime is 1551523613641. The reversal of 1551523613640 is 463163251551.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1551523613592 and 1551523613601.

It is not an unprimeable number, because it can be changed into a prime (1551523613641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38778766 + ... + 38818754.

It is an arithmetic number, because the mean of its divisors is an integer number (6802299000).

Almost surely, 2^{1551523613640} is an apocalyptic number.

1551523613640 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 1551523613640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482777088000).

1551523613640 is an abundant number, since it is smaller than the sum of its proper divisors (5414030562360).

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

1551523613640 is a wasteful number, since it uses less digits than its factorization.

1551523613640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40070 (or 40066 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 1551523613640 in words is "one trillion, five hundred fifty-one billion, five hundred twenty-three million, six hundred thirteen thousand, six hundred forty".