1072525639680 has 1536 divisors, whose sum is σ = 4396905676800. Its totient is φ = 248433868800.

The previous prime is 1072525639637. The next prime is 1072525639693. The reversal of 1072525639680 is 869365252701.

1072525639680 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 525 + 6 + 39 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×1072525639680² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13576273881 + ... + 13576273959.

It is an arithmetic number, because the mean of its divisors is an integer number (2862568800).

Almost surely, 2^{1072525639680} is an apocalyptic number.

1072525639680 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 1072525639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2198452838400).

1072525639680 is an abundant number, since it is smaller than the sum of its proper divisors (3324380037120).

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

1072525639680 is an frugal number, since it uses more digits than its factorization.

1072525639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1072525639680 in words is "one trillion, seventy-two billion, five hundred twenty-five million, six hundred thirty-nine thousand, six hundred eighty".