1553255334400 has 480 divisors, whose sum is σ = 4879397698560. Its totient is φ = 475908096000.

The previous prime is 1553255334361. The next prime is 1553255334443. The reversal of 1553255334400 is 44335523551.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58137045 + ... + 58163755.

It is an arithmetic number, because the mean of its divisors is an integer number (10165411872).

Almost surely, 2^{1553255334400} is an apocalyptic number.

1553255334400 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 1553255334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439698849280).

1553255334400 is an abundant number, since it is smaller than the sum of its proper divisors (3326142364160).

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

1553255334400 is a wasteful number, since it uses less digits than its factorization.

1553255334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26816 (or 26795 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 40.

The spelling of 1553255334400 in words is "one trillion, five hundred fifty-three billion, two hundred fifty-five million, three hundred thirty-four thousand, four hundred".