10487496373200 has 1920 divisors, whose sum is σ = 47235072000000. Its totient is φ = 2146885171200.

The previous prime is 10487496373169. The next prime is 10487496373201. The reversal of 10487496373200 is 237369478401.

10487496373200 is a `hidden beast` number, since 1 + 0 + 4 + 87 + 496 + 3 + 73 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10487496373201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 21017026551 + ... + 21017027049.

It is an arithmetic number, because the mean of its divisors is an integer number (24601600000).

Almost surely, 2^{10487496373200} is an apocalyptic number.

10487496373200 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 10487496373200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23617536000000).

10487496373200 is an abundant number, since it is smaller than the sum of its proper divisors (36747575626800).

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

10487496373200 is a wasteful number, since it uses less digits than its factorization.

10487496373200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 10487496373200 in words is "ten trillion, four hundred eighty-seven billion, four hundred ninety-six million, three hundred seventy-three thousand, two hundred".