553355151345000 has 320 divisors, whose sum is σ = 1920818597544000. Its totient is φ = 147556658016000.

The previous prime is 553355151344987. The next prime is 553355151345023. The reversal of 553355151345000 is 543151553355.

553355151345000 is a `hidden beast` number, since 5 + 5 + 3 + 3 + 5 + 5 + 1 + 5 + 134 + 500 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 6977165346 + ... + 6977244654.

It is an arithmetic number, because the mean of its divisors is an integer number (6002558117325).

Almost surely, 2^{553355151345000} is an apocalyptic number.

553355151345000 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 553355151345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960409298772000).

553355151345000 is an abundant number, since it is smaller than the sum of its proper divisors (1367463446199000).

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

553355151345000 is a wasteful number, since it uses less digits than its factorization.

553355151345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131027 (or 131002 counting only the distinct ones).

The product of its (nonzero) digits is 1687500, while the sum is 45.

The spelling of 553355151345000 in words is "five hundred fifty-three trillion, three hundred fifty-five billion, one hundred fifty-one million, three hundred forty-five thousand".