915353006400 has 1512 divisors, whose sum is σ = 4097313380160. Its totient is φ = 200031068160.

The previous prime is 915353006389. The next prime is 915353006401. The reversal of 915353006400 is 4600353519.

915353006400 is a `hidden beast` number, since 9 + 1 + 5 + 3 + 5 + 3 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×915353006400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (915353006401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 438176556 + ... + 438178644.

Almost surely, 2^915353006400 is an apocalyptic number.

915353006400 is a gapful number since it is divisible by the number (90) 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 915353006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048656690080).

915353006400 is an abundant number, since it is smaller than the sum of its proper divisors (3181960373760).

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

915353006400 is a wasteful number, since it uses less digits than its factorization.

915353006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 915353006400 its reverse (4600353519), we get a palindrome (919953359919).

The spelling of 915353006400 in words is "nine hundred fifteen billion, three hundred fifty-three million, six thousand, four hundred".