11292915480 has 384 divisors, whose sum is σ = 42921930240. Its totient is φ = 2326579200.

The previous prime is 11292915479. The next prime is 11292915497. The reversal of 11292915480 is 8451929211.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13924275 + ... + 13925085.

It is an arithmetic number, because the mean of its divisors is an integer number (111775860).

Almost surely, 2^11292915480 is an apocalyptic number.

11292915480 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 11292915480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21460965120).

11292915480 is an abundant number, since it is smaller than the sum of its proper divisors (31629014760).

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

11292915480 is a wasteful number, since it uses less digits than its factorization.

11292915480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

It can be divided in two parts, 1129291 and 5480, that added together give a triangular number (1134771 = T₁₅₀₆).

The spelling of 11292915480 in words is "eleven billion, two hundred ninety-two million, nine hundred fifteen thousand, four hundred eighty".