1270697071504 has 135 divisors (see below), whose sum is σ = 2895793878033. Its totient is φ = 538591987584.

The previous prime is 1270697071499. The next prime is 1270697071507. The reversal of 1270697071504 is 4051707960721.

The square root of 1270697071504 is 1127252.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 71128890000 + 1199568181504 = 266700^2 + 1095248^2 .

It is a super-2 number, since 2×1270697071504² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (1270697071507) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4008507954 + ... + 4008508270.

Almost surely, 2^{1270697071504} is an apocalyptic number.

1270697071504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1270697071504 is the 1127252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1270697071504

1270697071504 is an abundant number, since it is smaller than the sum of its proper divisors (1625096806529).

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

1270697071504 is an frugal number, since it uses more digits than its factorization.

1270697071504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 49.

Multiplying 1270697071504 by its sum of digits (49), we get a square (62264156503696 = 7890764²).

1270697071504 divided by its sum of digits (49) gives a square (25932593296 = 161036²).

The spelling of 1270697071504 in words is "one trillion, two hundred seventy billion, six hundred ninety-seven million, seventy-one thousand, five hundred four".