10526748180480 has 2592 divisors, whose sum is σ = 46992467208960. Its totient is φ = 2247370997760.

The previous prime is 10526748180439. The next prime is 10526748180541. The reversal of 10526748180480 is 8408184762501.

10526748180480 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 6 + 7 + 4 + 81 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×10526748180480² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148264058845 + ... + 148264058915.

It is an arithmetic number, because the mean of its divisors is an integer number (18129809880).

Almost surely, 2^{10526748180480} is an apocalyptic number.

10526748180480 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 10526748180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23496233604480).

10526748180480 is an abundant number, since it is smaller than the sum of its proper divisors (36465719028480).

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

10526748180480 is an frugal number, since it uses more digits than its factorization.

10526748180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 10526748180480 in words is "ten trillion, five hundred twenty-six billion, seven hundred forty-eight million, one hundred eighty thousand, four hundred eighty".