1562045150400 has 672 divisors, whose sum is σ = 6013101422592. Its totient is φ = 347599257600.

The previous prime is 1562045150381. The next prime is 1562045150423. The reversal of 1562045150400 is 40515402651.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311099890 + ... + 311104910.

Almost surely, 2^{1562045150400} is an apocalyptic number.

1562045150400 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 1562045150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006550711296).

1562045150400 is an abundant number, since it is smaller than the sum of its proper divisors (4451056272192).

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

1562045150400 is a wasteful number, since it uses less digits than its factorization.

1562045150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 1562045150400 in words is "one trillion, five hundred sixty-two billion, forty-five million, one hundred fifty thousand, four hundred".