1552502350400 has 168 divisors, whose sum is σ = 3860610357504. Its totient is φ = 614428416000.

The previous prime is 1552502350363. The next prime is 1552502350417. The reversal of 1552502350400 is 40532052551.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346306559 + ... + 346311041.

Almost surely, 2^{1552502350400} is an apocalyptic number.

1552502350400 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 1552502350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930305178752).

1552502350400 is an abundant number, since it is smaller than the sum of its proper divisors (2308108007104).

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

1552502350400 is a wasteful number, since it uses less digits than its factorization.

1552502350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6749 (or 6734 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The spelling of 1552502350400 in words is "one trillion, five hundred fifty-two billion, five hundred two million, three hundred fifty thousand, four hundred".