552302150400 has 3456 divisors, whose sum is σ = 2834165268480. Its totient is φ = 101523456000.

The previous prime is 552302150381. The next prime is 552302150429. The reversal of 552302150400 is 4051203255.

It is a happy number.

552302150400 is a `hidden beast` number, since 5 + 5 + 230 + 21 + 5 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5362156749 + ... + 5362156851.

Almost surely, 2^552302150400 is an apocalyptic number.

552302150400 is a gapful number since it is divisible by the number (50) 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 552302150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417082634240).

552302150400 is an abundant number, since it is smaller than the sum of its proper divisors (2281863118080).

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

552302150400 is a wasteful number, since it uses less digits than its factorization.

552302150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

Adding to 552302150400 its reverse (4051203255), we get a palindrome (556353353655).

The spelling of 552302150400 in words is "five hundred fifty-two billion, three hundred two million, one hundred fifty thousand, four hundred".