1513153264400 has 240 divisors, whose sum is σ = 3752708382720. Its totient is φ = 585995020800.

The previous prime is 1513153264387. The next prime is 1513153264423. The reversal of 1513153264400 is 44623513151.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1179386159 + ... + 1179387441.

It is an arithmetic number, because the mean of its divisors is an integer number (15636284928).

Almost surely, 2^{1513153264400} is an apocalyptic number.

1513153264400 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 1513153264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876354191360).

1513153264400 is an abundant number, since it is smaller than the sum of its proper divisors (2239555118320).

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

1513153264400 is a wasteful number, since it uses less digits than its factorization.

1513153264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

Adding to 1513153264400 its reverse (44623513151), we get a palindrome (1557776777551).

The spelling of 1513153264400 in words is "one trillion, five hundred thirteen billion, one hundred fifty-three million, two hundred sixty-four thousand, four hundred".