1503035252400 has 480 divisors, whose sum is σ = 5614515648000. Its totient is φ = 340026368000.

The previous prime is 1503035252399. The next prime is 1503035252437. The reversal of 1503035252400 is 42525303051.

It is a super-2 number, since 2×1503035252400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12387226 + ... + 12507974.

It is an arithmetic number, because the mean of its divisors is an integer number (11696907600).

Almost surely, 2^{1503035252400} is an apocalyptic number.

1503035252400 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 1503035252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807257824000).

1503035252400 is an abundant number, since it is smaller than the sum of its proper divisors (4111480395600).

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

1503035252400 is a wasteful number, since it uses less digits than its factorization.

1503035252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120845 (or 120834 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 1503035252400 in words is "one trillion, five hundred three billion, thirty-five million, two hundred fifty-two thousand, four hundred".