10488501943920 has 2160 divisors, whose sum is σ = 50203797501312. Its totient is φ = 2011440936960.

The previous prime is 10488501943897. The next prime is 10488501943921. The reversal of 10488501943920 is 2934910588401.

It is a happy number.

10488501943920 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 8 + 501 + 9 + 43 + 92 + 0 = 666.

10488501943920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×10488501943920² (a number of 27 digits) contains 22 as substring.

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 (10488501943921) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1770806079 + ... + 1770812001.

Almost surely, 2^{10488501943920} is an apocalyptic number.

10488501943920 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 10488501943920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25101898750656).

10488501943920 is an abundant number, since it is smaller than the sum of its proper divisors (39715295557392).

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

10488501943920 is a wasteful number, since it uses less digits than its factorization.

10488501943920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6002 (or 5964 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 10488501943920 in words is "ten trillion, four hundred eighty-eight billion, five hundred one million, nine hundred forty-three thousand, nine hundred twenty".