1552649868000 has 2880 divisors, whose sum is σ = 7420729365504. Its totient is φ = 304254720000.

The previous prime is 1552649867999. The next prime is 1552649868001. The reversal of 1552649868000 is 8689462551.

1552649868000 is a `hidden beast` number, since 1 + 55 + 26 + 498 + 6 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1552649867999) and next prime (1552649868001).

It is a super-2 number, since 2×1552649868000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1552649868001) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 21868307965 + ... + 21868308035.

Almost surely, 2^{1552649868000} is an apocalyptic number.

1552649868000 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 1552649868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710364682752).

1552649868000 is an abundant number, since it is smaller than the sum of its proper divisors (5868079497504).

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

1552649868000 is a wasteful number, since it uses less digits than its factorization.

1552649868000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 1552649868000 in words is "one trillion, five hundred fifty-two billion, six hundred forty-nine million, eight hundred sixty-eight thousand".