1253444451520 has 112 divisors (see below), whose sum is σ = 3160817196768. Its totient is φ = 471813570560.

The previous prime is 1253444451509. The next prime is 1253444451599. The reversal of 1253444451520 is 251544443521.

It is a super-2 number, since 2×1253444451520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48190839 + ... + 48216841.

It is an arithmetic number, because the mean of its divisors is an integer number (28221582114).

Almost surely, 2^{1253444451520} is an apocalyptic number.

1253444451520 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 1253444451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580408598384).

1253444451520 is an abundant number, since it is smaller than the sum of its proper divisors (1907372745248).

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

1253444451520 is a wasteful number, since it uses less digits than its factorization.

1253444451520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34898 (or 34888 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 40.

The spelling of 1253444451520 in words is "one trillion, two hundred fifty-three billion, four hundred forty-four million, four hundred fifty-one thousand, five hundred twenty".