526416142560 has 384 divisors, whose sum is σ = 2068487414784. Its totient is φ = 109326581760.

The previous prime is 526416142547. The next prime is 526416142583. The reversal of 526416142560 is 65241614625.

It is a super-2 number, since 2×526416142560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120376534 + ... + 120380906.

It is an arithmetic number, because the mean of its divisors is an integer number (5386685976).

Almost surely, 2^526416142560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526416142560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034243707392).

526416142560 is an abundant number, since it is smaller than the sum of its proper divisors (1542071272224).

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

526416142560 is a wasteful number, since it uses less digits than its factorization.

526416142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7666 (or 7658 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 526416142560 in words is "five hundred twenty-six billion, four hundred sixteen million, one hundred forty-two thousand, five hundred sixty".