11253157431516 has 1728 divisors, whose sum is σ = 44200525824000. Its totient is φ = 2327126630400.

The previous prime is 11253157431493. The next prime is 11253157431553. The reversal of 11253157431516 is 61513475135211.

It is a happy number.

11253157431516 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 31 + 5 + 74 + 31 + 516 = 666.

Its product of digits (378000) is a multiple of the sum of its prime factors (2520).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4690768885 + ... + 4690771283.

It is an arithmetic number, because the mean of its divisors is an integer number (25579008000).

Almost surely, 2^{11253157431516} 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 11253157431516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22100262912000).

11253157431516 is an abundant number, since it is smaller than the sum of its proper divisors (32947368392484).

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

11253157431516 is a wasteful number, since it uses less digits than its factorization.

11253157431516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2502 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The spelling of 11253157431516 in words is "eleven trillion, two hundred fifty-three billion, one hundred fifty-seven million, four hundred thirty-one thousand, five hundred sixteen".