1552139366400 has 2808 divisors, whose sum is σ = 7164959954880. Its totient is φ = 331085905920.

The previous prime is 1552139366387. The next prime is 1552139366413. The reversal of 1552139366400 is 46639312551.

1552139366400 is a `hidden beast` number, since 1 + 5 + 52 + 139 + 3 + 66 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (1552139366387) and next prime (1552139366413).

It is a super-2 number, since 2×1552139366400² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 23166259167 + ... + 23166259233.

Almost surely, 2^{1552139366400} is an apocalyptic number.

1552139366400 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 1552139366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582479977440).

1552139366400 is an abundant number, since it is smaller than the sum of its proper divisors (5612820588480).

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

1552139366400 is an equidigital number, since it uses as much as digits as its factorization.

1552139366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 1552139366400 in words is "one trillion, five hundred fifty-two billion, one hundred thirty-nine million, three hundred sixty-six thousand, four hundred".