1487032948800 has 3024 divisors, whose sum is σ = 7059512180160. Its totient is φ = 302380646400.

The previous prime is 1487032948729. The next prime is 1487032948847. The reversal of 1487032948800 is 88492307841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a super-2 number, since 2×1487032948800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 34582161579 + ... + 34582161621.

Almost surely, 2^{1487032948800} is an apocalyptic number.

1487032948800 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 1487032948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3529756090080).

1487032948800 is an abundant number, since it is smaller than the sum of its proper divisors (5572479231360).

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

1487032948800 is a wasteful number, since it uses less digits than its factorization.

1487032948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1487032948800 in words is "one trillion, four hundred eighty-seven billion, thirty-two million, nine hundred forty-eight thousand, eight hundred".